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Simplifying -12 = 3(5m + -14) Reorder the terms: -12 = 3(-14 + 5m) -12 = (-14 * 3 + 5m * 3) -12 = (-42 + 15m) Solving -12 = -42 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -12 + -15m = -42 + 15m + -15m Combine like terms: 15m + -15m = 0 -12 + -15m = -42 + 0 -12 + -15m = -42 Add '12' to each side of the equation. -12 + 12 + -15m = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -15m = -42 + 12 -15m = -42 + 12 Combine like terms: -42 + 12 = -30 -15m = -30 Divide each side by '-15'. m = 2 Simplifying m = 2
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