Question10 12) -5(a-6)+2a fy each expression. Me (5a+7)

Studdy Solution

STEP 1

1. The problem involves simplifying the expression: $-5(a-6)+2a$ .
2. The expression is a polynomial and can be simplified by distributing and combining like terms.
3. The expression $(5a+7)$ is separate and not part of the simplification process for the first expression.

STEP 2

1. Distribute the terms in the expression $-5(a-6)+2a$ .
2. Combine like terms in the expression.

STEP 3

Distribute $-5$ across the terms inside the parentheses $(a-6)$ :
$-5(a-6) = -5 \cdot a + (-5) \cdot (-6) = -5a + 30$

STEP 4

Combine the distributed terms with $2a$ :
$-5a + 30 + 2a$

STEP 5

Combine like terms by adding the coefficients of $a$ :
$(-5a + 2a) + 30 = -3a + 30$
The simplified expression is:
$\boxed{-3a + 30}$

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