alleryStart learning →Solve: -4(a - 3) - 7 = 25.
Aa=5
Ba=-8
Ca=8
Da=-5
Answer & Solution
Correct answer: D. a=-5
1. Distribute on the left: -4(a - 3) becomes -4a + 12.
2. Combine like terms: -4a + 12 - 7 simplifies to -4a + 5.
3. The equation is now -4a + 5 = 25, so -4a = 20 after subtracting 5 from both sides.
4. Divide both sides by -4 to get a = -5, and checking confirms -4(-5 - 3) - 7 equals 32 - 7 equals 25.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
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