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Simplifying -3m + 2 = 5(2m + -3) Reorder the terms: 2 + -3m = 5(2m + -3) Reorder the terms: 2 + -3m = 5(-3 + 2m) 2 + -3m = (-3 * 5 + 2m * 5) 2 + -3m = (-15 + 10m) Solving 2 + -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. 2 + -3m + -10m = -15 + 10m + -10m Combine like terms: -3m + -10m = -13m 2 + -13m = -15 + 10m + -10m Combine like terms: 10m + -10m = 0 2 + -13m = -15 + 0 2 + -13m = -15 Add '-2' to each side of the equation. 2 + -2 + -13m = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -13m = -15 + -2 -13m = -15 + -2 Combine like terms: -15 + -2 = -17 -13m = -17 Divide each side by '-13'. m = 1.307692308 Simplifying m = 1.307692308
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