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Simplifying 8(m + 6) + 6 = 10 + m + 5 Reorder the terms: 8(6 + m) + 6 = 10 + m + 5 (6 * 8 + m * 8) + 6 = 10 + m + 5 (48 + 8m) + 6 = 10 + m + 5 Reorder the terms: 48 + 6 + 8m = 10 + m + 5 Combine like terms: 48 + 6 = 54 54 + 8m = 10 + m + 5 Reorder the terms: 54 + 8m = 10 + 5 + m Combine like terms: 10 + 5 = 15 54 + 8m = 15 + m Solving 54 + 8m = 15 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 54 + 8m + -1m = 15 + m + -1m Combine like terms: 8m + -1m = 7m 54 + 7m = 15 + m + -1m Combine like terms: m + -1m = 0 54 + 7m = 15 + 0 54 + 7m = 15 Add '-54' to each side of the equation. 54 + -54 + 7m = 15 + -54 Combine like terms: 54 + -54 = 0 0 + 7m = 15 + -54 7m = 15 + -54 Combine like terms: 15 + -54 = -39 7m = -39 Divide each side by '7'. m = -5.571428571 Simplifying m = -5.571428571
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