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Simplifying 5(2m + 3) + -4 = 8m + 27 Reorder the terms: 5(3 + 2m) + -4 = 8m + 27 (3 * 5 + 2m * 5) + -4 = 8m + 27 (15 + 10m) + -4 = 8m + 27 Reorder the terms: 15 + -4 + 10m = 8m + 27 Combine like terms: 15 + -4 = 11 11 + 10m = 8m + 27 Reorder the terms: 11 + 10m = 27 + 8m Solving 11 + 10m = 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. 11 + 10m + -8m = 27 + 8m + -8m Combine like terms: 10m + -8m = 2m 11 + 2m = 27 + 8m + -8m Combine like terms: 8m + -8m = 0 11 + 2m = 27 + 0 11 + 2m = 27 Add '-11' to each side of the equation. 11 + -11 + 2m = 27 + -11 Combine like terms: 11 + -11 = 0 0 + 2m = 27 + -11 2m = 27 + -11 Combine like terms: 27 + -11 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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