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Simplifying 3(m + 5) = 45 + -7m Reorder the terms: 3(5 + m) = 45 + -7m (5 * 3 + m * 3) = 45 + -7m (15 + 3m) = 45 + -7m Solving 15 + 3m = 45 + -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. 15 + 3m + 7m = 45 + -7m + 7m Combine like terms: 3m + 7m = 10m 15 + 10m = 45 + -7m + 7m Combine like terms: -7m + 7m = 0 15 + 10m = 45 + 0 15 + 10m = 45 Add '-15' to each side of the equation. 15 + -15 + 10m = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 10m = 45 + -15 10m = 45 + -15 Combine like terms: 45 + -15 = 30 10m = 30 Divide each side by '10'. m = 3 Simplifying m = 3
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