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Simplifying 3(m + -2) + -12m = 4(2m + 7) Reorder the terms: 3(-2 + m) + -12m = 4(2m + 7) (-2 * 3 + m * 3) + -12m = 4(2m + 7) (-6 + 3m) + -12m = 4(2m + 7) Combine like terms: 3m + -12m = -9m -6 + -9m = 4(2m + 7) Reorder the terms: -6 + -9m = 4(7 + 2m) -6 + -9m = (7 * 4 + 2m * 4) -6 + -9m = (28 + 8m) Solving -6 + -9m = 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. -6 + -9m + -8m = 28 + 8m + -8m Combine like terms: -9m + -8m = -17m -6 + -17m = 28 + 8m + -8m Combine like terms: 8m + -8m = 0 -6 + -17m = 28 + 0 -6 + -17m = 28 Add '6' to each side of the equation. -6 + 6 + -17m = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -17m = 28 + 6 -17m = 28 + 6 Combine like terms: 28 + 6 = 34 -17m = 34 Divide each side by '-17'. m = -2 Simplifying m = -2
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