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Simplifying 5(m + 6) = 18 + 7m Reorder the terms: 5(6 + m) = 18 + 7m (6 * 5 + m * 5) = 18 + 7m (30 + 5m) = 18 + 7m Solving 30 + 5m = 18 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 30 + 5m + -7m = 18 + 7m + -7m Combine like terms: 5m + -7m = -2m 30 + -2m = 18 + 7m + -7m Combine like terms: 7m + -7m = 0 30 + -2m = 18 + 0 30 + -2m = 18 Add '-30' to each side of the equation. 30 + -30 + -2m = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -2m = 18 + -30 -2m = 18 + -30 Combine like terms: 18 + -30 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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