Math / Algebra

Question $4 a-4 c+5 a-c+a$

Studdy Solution

STEP 1

1. The expression consists of terms that can be combined by grouping like terms.
2. We are simplifying the expression to its simplest form.

STEP 2

1. Identify and group like terms in the expression.
2. Combine the grouped terms to simplify the expression.

STEP 3

Identify the like terms in the expression $4a - 4c + 5a - c + a$ .
- Like terms involving $a$ : $4a$ , $5a$ , and $a$ . - Like terms involving $c$ : $-4c$ and $-c$ .

STEP 4

Combine the like terms involving $a$ :
$4a + 5a + a = (4 + 5 + 1)a = 10a$

STEP 5

Combine the like terms involving $c$ :
$-4c - c = (-4 - 1)c = -5c$

STEP 6

Write the simplified expression by combining the results from the previous steps:
$10a - 5c$
This is the simplest form of the given expression.

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Question $4 a-4 c+5 a-c+a$

Studdy Solution

STEP 1

1. The expression consists of terms that can be combined by grouping like terms.
2. We are simplifying the expression to its simplest form.

STEP 2

1. Identify and group like terms in the expression.
2. Combine the grouped terms to simplify the expression.

STEP 3

Identify the like terms in the expression $4a - 4c + 5a - c + a$ .
- Like terms involving $a$ : $4a$ , $5a$ , and $a$ . - Like terms involving $c$ : $-4c$ and $-c$ .

STEP 4

Combine the like terms involving $a$ :
$4a + 5a + a = (4 + 5 + 1)a = 10a$

STEP 5

Combine the like terms involving $c$ :
$-4c - c = (-4 - 1)c = -5c$

STEP 6

Write the simplified expression by combining the results from the previous steps:
$10a - 5c$
This is the simplest form of the given expression.

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Question4a−4c+5a−c+a4 a-4 c+5 a-c+a4a−4c+5a−c+a

Studdy Solution

STEP 1

1. The expression consists of terms that can be combined by grouping like terms.2. We are simplifying the expression to its simplest form.

STEP 2

1. Identify and group like terms in the expression.2. Combine the grouped terms to simplify the expression.

STEP 3

Identify the like terms in the expression 4a−4c+5a−c+a4a - 4c + 5a - c + a4a−4c+5a−c+a.- Like terms involving aaa: 4a4a4a, 5a5a5a, and aaa. - Like terms involving ccc: −4c-4c−4c and −c-c−c.

STEP 4

Combine the like terms involving aaa:4a+5a+a=(4+5+1)a=10a 4a + 5a + a = (4 + 5 + 1)a = 10a 4a+5a+a=(4+5+1)a=10a

STEP 5

Combine the like terms involving ccc:−4c−c=(−4−1)c=−5c -4c - c = (-4 - 1)c = -5c −4c−c=(−4−1)c=−5c

STEP 6

Write the simplified expression by combining the results from the previous steps:10a−5c 10a - 5c 10a−5cThis is the simplest form of the given expression.

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Question $4 a-4 c+5 a-c+a$

1. The expression consists of terms that can be combined by grouping like terms.
2. We are simplifying the expression to its simplest form.

1. Identify and group like terms in the expression.
2. Combine the grouped terms to simplify the expression.

Identify the like terms in the expression $4a - 4c + 5a - c + a$ .
- Like terms involving $a$ : $4a$ , $5a$ , and $a$ . - Like terms involving $c$ : $-4c$ and $-c$ .

Combine the like terms involving $a$ :
$4a + 5a + a = (4 + 5 + 1)a = 10a$

Combine the like terms involving $c$ :
$-4c - c = (-4 - 1)c = -5c$

Write the simplified expression by combining the results from the previous steps:
$10a - 5c$
This is the simplest form of the given expression.