Question

addition property of equality
multiplication property of equality
subtraction property of equality
distributive property
combine like terms
division property of equality

• a=-8 - 4(a - 5)

property
step 1

• a=-8 - 4a + 20

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step 2

• a=-4a + 12

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step 3
3a = 12
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step 4
a = 4
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Explanation:

Step1: Expand the right - hand side

Apply the distributive property: $-a=-8 - 4a+20$ (using $-4(a - 5)=-4a+20$)

Step2: Combine like terms on the right - hand side

Combine constants: $-a=-4a + 12$ (since $-8 + 20=12$)

Step3: Add $4a$ to both sides

Use the addition property of equality: $-a+4a=-4a + 4a+12$, which simplifies to $3a = 12$

Step4: Divide both sides by 3

Use the division property of equality: $\frac{3a}{3}=\frac{12}{3}$, so $a = 4$

Answer:

Step 1: Distributive Property
Step 2: Combine Like Terms
Step 3: Addition Property of Equality
Step 4: Division Property of Equality