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Simplifying 3(6 + 5m) = 2(-5 + 4m) (6 * 3 + 5m * 3) = 2(-5 + 4m) (18 + 15m) = 2(-5 + 4m) 18 + 15m = (-5 * 2 + 4m * 2) 18 + 15m = (-10 + 8m) Solving 18 + 15m = -10 + 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. 18 + 15m + -8m = -10 + 8m + -8m Combine like terms: 15m + -8m = 7m 18 + 7m = -10 + 8m + -8m Combine like terms: 8m + -8m = 0 18 + 7m = -10 + 0 18 + 7m = -10 Add '-18' to each side of the equation. 18 + -18 + 7m = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 7m = -10 + -18 7m = -10 + -18 Combine like terms: -10 + -18 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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