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Simplifying 5(2m + 3) + -4m = 8m + 27 Reorder the terms: 5(3 + 2m) + -4m = 8m + 27 (3 * 5 + 2m * 5) + -4m = 8m + 27 (15 + 10m) + -4m = 8m + 27 Combine like terms: 10m + -4m = 6m 15 + 6m = 8m + 27 Reorder the terms: 15 + 6m = 27 + 8m Solving 15 + 6m = 27 + 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. 15 + 6m + -8m = 27 + 8m + -8m Combine like terms: 6m + -8m = -2m 15 + -2m = 27 + 8m + -8m Combine like terms: 8m + -8m = 0 15 + -2m = 27 + 0 15 + -2m = 27 Add '-15' to each side of the equation. 15 + -15 + -2m = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -2m = 27 + -15 -2m = 27 + -15 Combine like terms: 27 + -15 = 12 -2m = 12 Divide each side by '-2'. m = -6 Simplifying m = -6
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