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Simplifying 5(3m + 6) + -9m = 2m + 100 Reorder the terms: 5(6 + 3m) + -9m = 2m + 100 (6 * 5 + 3m * 5) + -9m = 2m + 100 (30 + 15m) + -9m = 2m + 100 Combine like terms: 15m + -9m = 6m 30 + 6m = 2m + 100 Reorder the terms: 30 + 6m = 100 + 2m Solving 30 + 6m = 100 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 30 + 6m + -2m = 100 + 2m + -2m Combine like terms: 6m + -2m = 4m 30 + 4m = 100 + 2m + -2m Combine like terms: 2m + -2m = 0 30 + 4m = 100 + 0 30 + 4m = 100 Add '-30' to each side of the equation. 30 + -30 + 4m = 100 + -30 Combine like terms: 30 + -30 = 0 0 + 4m = 100 + -30 4m = 100 + -30 Combine like terms: 100 + -30 = 70 4m = 70 Divide each side by '4'. m = 17.5 Simplifying m = 17.5
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