alleryStart learning →Solve: (2/3)(6m - 3) = 8 - m.
Am = 2
Bm = -2
Cm = 1.6
Dm = 3.3
Answer & Solution
Correct answer: A. m = 2
1. Distribute on the left: two-thirds times (6m - 3) becomes 4m - 2.
2. Add m to both sides to collect variables on the left: 5m - 2 = 8.
3. Add 2 to both sides: 5m = 10.
4. Divide both sides by 5 to get m equals 2, and checking confirms two-thirds times (12 - 3) equals two-thirds times 9 equals 6, which equals 8 - 2.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
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