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Simplifying 5(3m + 2) = 16m + -5 Reorder the terms: 5(2 + 3m) = 16m + -5 (2 * 5 + 3m * 5) = 16m + -5 (10 + 15m) = 16m + -5 Reorder the terms: 10 + 15m = -5 + 16m Solving 10 + 15m = -5 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 10 + 15m + -16m = -5 + 16m + -16m Combine like terms: 15m + -16m = -1m 10 + -1m = -5 + 16m + -16m Combine like terms: 16m + -16m = 0 10 + -1m = -5 + 0 10 + -1m = -5 Add '-10' to each side of the equation. 10 + -10 + -1m = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = -5 + -10 -1m = -5 + -10 Combine like terms: -5 + -10 = -15 -1m = -15 Divide each side by '-1'. m = 15 Simplifying m = 15
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