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Simplifying 3m + -8 = 5(3m + 8) Reorder the terms: -8 + 3m = 5(3m + 8) Reorder the terms: -8 + 3m = 5(8 + 3m) -8 + 3m = (8 * 5 + 3m * 5) -8 + 3m = (40 + 15m) Solving -8 + 3m = 40 + 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. -8 + 3m + -15m = 40 + 15m + -15m Combine like terms: 3m + -15m = -12m -8 + -12m = 40 + 15m + -15m Combine like terms: 15m + -15m = 0 -8 + -12m = 40 + 0 -8 + -12m = 40 Add '8' to each side of the equation. -8 + 8 + -12m = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -12m = 40 + 8 -12m = 40 + 8 Combine like terms: 40 + 8 = 48 -12m = 48 Divide each side by '-12'. m = -4 Simplifying m = -4
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