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Simplifying -3(m + -6) = 5(2m + 3) Reorder the terms: -3(-6 + m) = 5(2m + 3) (-6 * -3 + m * -3) = 5(2m + 3) (18 + -3m) = 5(2m + 3) Reorder the terms: 18 + -3m = 5(3 + 2m) 18 + -3m = (3 * 5 + 2m * 5) 18 + -3m = (15 + 10m) Solving 18 + -3m = 15 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 18 + -3m + -10m = 15 + 10m + -10m Combine like terms: -3m + -10m = -13m 18 + -13m = 15 + 10m + -10m Combine like terms: 10m + -10m = 0 18 + -13m = 15 + 0 18 + -13m = 15 Add '-18' to each side of the equation. 18 + -18 + -13m = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -13m = 15 + -18 -13m = 15 + -18 Combine like terms: 15 + -18 = -3 -13m = -3 Divide each side by '-13'. m = 0.2307692308 Simplifying m = 0.2307692308
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