Step 1: Distribute the constant into the parenthesis. The given expression is 7b − 2a − 3(b − a). Distribute −3 into the parenthesis: −3 × b = −3b and −3 × (−a) = +3a. So the expression becomes: 7b − 2a − 3b + 3a Step 2: Identify and combine like terms. The like terms are those with a and those with b. Combine the a terms: −2a + 3a = (−2 + 3)a = 1a = a. Combine the b terms: 7b − 3b = (7 − 3)b = 4b. Step 3: Write the simplified expression. Combine the results from Step 2: a + 4b The simplified expression is: a + 4b

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7b - 2a - 3(b-a)

October 12, 2026Mathematics

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Answer

a + 4b

Step-by-step solution

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Distribute the constant into the parenthesis.
The given expression is $7b - 2a - 3(b - a)$ .
Distribute $-3$ into the parenthesis: $-3 \times b = -3b$ and $-3 \times (-a) = +3a$ .
So the expression becomes:
$7b - 2a - 3b + 3a$
Identify and combine like terms.
The like terms are those with $a$ and those with $b$ .
Combine the $a$ terms: $-2a + 3a = (-2 + 3)a = 1a = a$ .
Combine the $b$ terms: $7b - 3b = (7 - 3)b = 4b$ .
Write the simplified expression.
Combine the results from Step 2:
$a + 4b$

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7b - 2a - 3(b-a)

Answer

Step-by-step solution

Distribute the constant into the parenthesis.

Identify and combine like terms.

Write the simplified expression.

Try one yourself

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