QuestionSimplify the expression: $2x - 2y + 5z - 2x - y + 3z$ (1 point).

Studdy Solution

STEP 1

Assumptions1. The expression given is $x -y +5z -x - y +3z$ . . The goal is to simplify this expression.

STEP 2

To simplify the expression, we need to combine like terms. Like terms are terms that contain the same variables raised to the same power.

STEP 3

Identify and combine the 'x' terms.
$2x -2x$

STEP 4

Calculate the combined 'x' term.
$2x -2x =0x$

STEP 5

Identify and combine the 'y' terms.
$-2y - y$

STEP 6

Calculate the combined 'y' term.
$-2y - y = -3y$

STEP 7

Identify and combine the 'z' terms.
$5z +3z$

STEP 8

Calculate the combined 'z' term.
$5z +3z =8z$

STEP 9

Now that we have combined all like terms, we can rewrite the original expression in its simplified form.
$x -3y +8z$

STEP 10

Since $0x$ is just $0$ , we can remove it from the expression.
$-3y +8z$ The simplified form of the given expression is $-3y +8z$ .

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QuestionSimplify the expression: $2x - 2y + 5z - 2x - y + 3z$ (1 point).

Studdy Solution

STEP 1

Assumptions1. The expression given is $x -y +5z -x - y +3z$ . . The goal is to simplify this expression.

STEP 2

To simplify the expression, we need to combine like terms. Like terms are terms that contain the same variables raised to the same power.

STEP 3

Identify and combine the 'x' terms.
$2x -2x$

STEP 4

Calculate the combined 'x' term.
$2x -2x =0x$

STEP 5

Identify and combine the 'y' terms.
$-2y - y$

STEP 6

Calculate the combined 'y' term.
$-2y - y = -3y$

STEP 7

Identify and combine the 'z' terms.
$5z +3z$

STEP 8

Calculate the combined 'z' term.
$5z +3z =8z$

STEP 9

Now that we have combined all like terms, we can rewrite the original expression in its simplified form.
$x -3y +8z$

STEP 10

Since $0x$ is just $0$ , we can remove it from the expression.
$-3y +8z$ The simplified form of the given expression is $-3y +8z$ .

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QuestionSimplify the expression: 2x−2y+5z−2x−y+3z2x - 2y + 5z - 2x - y + 3z2x−2y+5z−2x−y+3z (1 point).

Studdy Solution

STEP 1

Assumptions1. The expression given is x−y+5z−x−y+3zx -y +5z -x - y +3zx−y+5z−x−y+3z. . The goal is to simplify this expression.

STEP 2

To simplify the expression, we need to combine like terms. Like terms are terms that contain the same variables raised to the same power.

STEP 3

Identify and combine the 'x' terms.2x−2x2x -2x2x−2x

STEP 4

Calculate the combined 'x' term.2x−2x=0x2x -2x =0x2x−2x=0x

STEP 5

Identify and combine the 'y' terms.−2y−y-2y - y−2y−y

STEP 6

Calculate the combined 'y' term.−2y−y=−3y-2y - y = -3y−2y−y=−3y

STEP 7

Identify and combine the 'z' terms.5z+3z5z +3z5z+3z

STEP 8

Calculate the combined 'z' term.5z+3z=8z5z +3z =8z5z+3z=8z

STEP 9

Now that we have combined all like terms, we can rewrite the original expression in its simplified form.x−3y+8zx -3y +8zx−3y+8z

STEP 10

Since 0x0x0x is just 000, we can remove it from the expression.−3y+8z-3y +8z−3y+8zThe simplified form of the given expression is −3y+8z-3y +8z−3y+8z.

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QuestionSimplify the expression: $2x - 2y + 5z - 2x - y + 3z$ (1 point).

Assumptions1. The expression given is $x -y +5z -x - y +3z$ . . The goal is to simplify this expression.

Identify and combine the 'x' terms.
$2x -2x$

Calculate the combined 'x' term.
$2x -2x =0x$

Identify and combine the 'y' terms.
$-2y - y$

Calculate the combined 'y' term.
$-2y - y = -3y$

Identify and combine the 'z' terms.
$5z +3z$

Calculate the combined 'z' term.
$5z +3z =8z$

Now that we have combined all like terms, we can rewrite the original expression in its simplified form.
$x -3y +8z$

Since $0x$ is just $0$ , we can remove it from the expression.
$-3y +8z$ The simplified form of the given expression is $-3y +8z$ .