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Simplifying 6 + -1(m + 2) = 5(3m + -4) Reorder the terms: 6 + -1(2 + m) = 5(3m + -4) 6 + (2 * -1 + m * -1) = 5(3m + -4) 6 + (-2 + -1m) = 5(3m + -4) Combine like terms: 6 + -2 = 4 4 + -1m = 5(3m + -4) Reorder the terms: 4 + -1m = 5(-4 + 3m) 4 + -1m = (-4 * 5 + 3m * 5) 4 + -1m = (-20 + 15m) Solving 4 + -1m = -20 + 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. 4 + -1m + -15m = -20 + 15m + -15m Combine like terms: -1m + -15m = -16m 4 + -16m = -20 + 15m + -15m Combine like terms: 15m + -15m = 0 4 + -16m = -20 + 0 4 + -16m = -20 Add '-4' to each side of the equation. 4 + -4 + -16m = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -16m = -20 + -4 -16m = -20 + -4 Combine like terms: -20 + -4 = -24 -16m = -24 Divide each side by '-16'. m = 1.5 Simplifying m = 1.5
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