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Simplifying 5(2m + 3) + -4m = 10m + 27 Reorder the terms: 5(3 + 2m) + -4m = 10m + 27 (3 * 5 + 2m * 5) + -4m = 10m + 27 (15 + 10m) + -4m = 10m + 27 Combine like terms: 10m + -4m = 6m 15 + 6m = 10m + 27 Reorder the terms: 15 + 6m = 27 + 10m Solving 15 + 6m = 27 + 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. 15 + 6m + -10m = 27 + 10m + -10m Combine like terms: 6m + -10m = -4m 15 + -4m = 27 + 10m + -10m Combine like terms: 10m + -10m = 0 15 + -4m = 27 + 0 15 + -4m = 27 Add '-15' to each side of the equation. 15 + -15 + -4m = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -4m = 27 + -15 -4m = 27 + -15 Combine like terms: 27 + -15 = 12 -4m = 12 Divide each side by '-4'. m = -3 Simplifying m = -3
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