Math / Algebra

Question $5 c-c+4 c-2 c$

Studdy Solution

STEP 1

1. We are given an algebraic expression involving the variable $c$ .
2. The expression can be simplified by combining like terms.

STEP 2

1. Identify and combine like terms in the expression $5c - c + 4c - 2c$ .
2. Simplify the expression to find the equivalent expression.

STEP 3

Identify the like terms in the expression. All terms involve the variable $c$ : $5c$ , $-c$ , $4c$ , and $-2c$ .

STEP 4

Combine the like terms by adding or subtracting their coefficients:
$5c - c + 4c - 2c = (5 - 1 + 4 - 2)c$

STEP 5

Calculate the sum of the coefficients:
$5 - 1 + 4 - 2 = 6$

STEP 6

Substitute the calculated sum back into the expression:
$6c$
The simplified expression is:
$\boxed{6c}$

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Question $5 c-c+4 c-2 c$

Studdy Solution

STEP 1

1. We are given an algebraic expression involving the variable $c$ .
2. The expression can be simplified by combining like terms.

STEP 2

1. Identify and combine like terms in the expression $5c - c + 4c - 2c$ .
2. Simplify the expression to find the equivalent expression.

STEP 3

Identify the like terms in the expression. All terms involve the variable $c$ : $5c$ , $-c$ , $4c$ , and $-2c$ .

STEP 4

Combine the like terms by adding or subtracting their coefficients:
$5c - c + 4c - 2c = (5 - 1 + 4 - 2)c$

STEP 5

Calculate the sum of the coefficients:
$5 - 1 + 4 - 2 = 6$

STEP 6

Substitute the calculated sum back into the expression:
$6c$
The simplified expression is:
$\boxed{6c}$

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Question5c−c+4c−2c5 c-c+4 c-2 c5c−c+4c−2c

Studdy Solution

STEP 1

1. We are given an algebraic expression involving the variable c c c.2. The expression can be simplified by combining like terms.

STEP 2

1. Identify and combine like terms in the expression 5c−c+4c−2c 5c - c + 4c - 2c 5c−c+4c−2c.2. Simplify the expression to find the equivalent expression.

STEP 3

Identify the like terms in the expression. All terms involve the variable c c c: 5c 5c 5c, −c-c−c, 4c4c4c, and −2c-2c−2c.

STEP 4

Combine the like terms by adding or subtracting their coefficients:5c−c+4c−2c=(5−1+4−2)c 5c - c + 4c - 2c = (5 - 1 + 4 - 2)c 5c−c+4c−2c=(5−1+4−2)c

STEP 5

Calculate the sum of the coefficients:5−1+4−2=6 5 - 1 + 4 - 2 = 6 5−1+4−2=6

STEP 6

Substitute the calculated sum back into the expression:6c 6c 6cThe simplified expression is:6c \boxed{6c} 6c​

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Question $5 c-c+4 c-2 c$

1. We are given an algebraic expression involving the variable $c$ .
2. The expression can be simplified by combining like terms.

1. Identify and combine like terms in the expression $5c - c + 4c - 2c$ .
2. Simplify the expression to find the equivalent expression.

Identify the like terms in the expression. All terms involve the variable $c$ : $5c$ , $-c$ , $4c$ , and $-2c$ .

Combine the like terms by adding or subtracting their coefficients:
$5c - c + 4c - 2c = (5 - 1 + 4 - 2)c$

Calculate the sum of the coefficients:
$5 - 1 + 4 - 2 = 6$

Substitute the calculated sum back into the expression:
$6c$
The simplified expression is:
$\boxed{6c}$