Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: 5(n - 4) - 4n = -8.
Solve: 5(n - 4) - 4n = -8.
An = -12
Bn = 12
Cn = -28
Dn = 8
Answer & Solution
Correct answer: B. n = 12
1. Distribute on the left side: 5(n - 4) becomes 5n - 20.
2. Combine like terms: 5n - 20 - 4n simplifies to n - 20.
3. The equation is now n - 20 = -8.
4. Add 20 to both sides to get n = 12, and checking confirms 5(12 - 4) - 4(12) equals 40 - 48 equals -8.
_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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