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Simplifying 3(4 + -1m) = 2(4m + -14) (4 * 3 + -1m * 3) = 2(4m + -14) (12 + -3m) = 2(4m + -14) Reorder the terms: 12 + -3m = 2(-14 + 4m) 12 + -3m = (-14 * 2 + 4m * 2) 12 + -3m = (-28 + 8m) Solving 12 + -3m = -28 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 12 + -3m + -8m = -28 + 8m + -8m Combine like terms: -3m + -8m = -11m 12 + -11m = -28 + 8m + -8m Combine like terms: 8m + -8m = 0 12 + -11m = -28 + 0 12 + -11m = -28 Add '-12' to each side of the equation. 12 + -12 + -11m = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -11m = -28 + -12 -11m = -28 + -12 Combine like terms: -28 + -12 = -40 -11m = -40 Divide each side by '-11'. m = 3.636363636 Simplifying m = 3.636363636
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