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Solve for p: 5(p - 3) - 4p = -10.
Ap = -5
Bp = 25
Cp = -25
Dp = 5
Answer & Solution
Correct answer: D. p = 5
1. Distribute on the left: 5p - 15 - 4p = -10.
2. Combine like terms: 5p - 4p = p, so p - 15 = -10.
3. Add 15 to both sides: p = 5.
4. Check: 5(5 - 3) - 4(5) = 10 - 20 = -10, a true statement.
5. p = -25 is the trap of adding -10 and -15 instead of adding 15 to both sides.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_
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