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Simplifying 5(m + 3) + -4m = 8m + 27 Reorder the terms: 5(3 + m) + -4m = 8m + 27 (3 * 5 + m * 5) + -4m = 8m + 27 (15 + 5m) + -4m = 8m + 27 Combine like terms: 5m + -4m = 1m 15 + 1m = 8m + 27 Reorder the terms: 15 + 1m = 27 + 8m Solving 15 + 1m = 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 + 1m + -8m = 27 + 8m + -8m Combine like terms: 1m + -8m = -7m 15 + -7m = 27 + 8m + -8m Combine like terms: 8m + -8m = 0 15 + -7m = 27 + 0 15 + -7m = 27 Add '-15' to each side of the equation. 15 + -15 + -7m = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -7m = 27 + -15 -7m = 27 + -15 Combine like terms: 27 + -15 = 12 -7m = 12 Divide each side by '-7'. m = -1.714285714 Simplifying m = -1.714285714
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