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Simplifying 3m + -10 = 2(4m + -15) Reorder the terms: -10 + 3m = 2(4m + -15) Reorder the terms: -10 + 3m = 2(-15 + 4m) -10 + 3m = (-15 * 2 + 4m * 2) -10 + 3m = (-30 + 8m) Solving -10 + 3m = -30 + 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. -10 + 3m + -8m = -30 + 8m + -8m Combine like terms: 3m + -8m = -5m -10 + -5m = -30 + 8m + -8m Combine like terms: 8m + -8m = 0 -10 + -5m = -30 + 0 -10 + -5m = -30 Add '10' to each side of the equation. -10 + 10 + -5m = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = -30 + 10 -5m = -30 + 10 Combine like terms: -30 + 10 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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