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Simplifying 7(m + -12) = 8 + 5(3m + -4) Reorder the terms: 7(-12 + m) = 8 + 5(3m + -4) (-12 * 7 + m * 7) = 8 + 5(3m + -4) (-84 + 7m) = 8 + 5(3m + -4) Reorder the terms: -84 + 7m = 8 + 5(-4 + 3m) -84 + 7m = 8 + (-4 * 5 + 3m * 5) -84 + 7m = 8 + (-20 + 15m) Combine like terms: 8 + -20 = -12 -84 + 7m = -12 + 15m Solving -84 + 7m = -12 + 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. -84 + 7m + -15m = -12 + 15m + -15m Combine like terms: 7m + -15m = -8m -84 + -8m = -12 + 15m + -15m Combine like terms: 15m + -15m = 0 -84 + -8m = -12 + 0 -84 + -8m = -12 Add '84' to each side of the equation. -84 + 84 + -8m = -12 + 84 Combine like terms: -84 + 84 = 0 0 + -8m = -12 + 84 -8m = -12 + 84 Combine like terms: -12 + 84 = 72 -8m = 72 Divide each side by '-8'. m = -9 Simplifying m = -9
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