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Simplifying 7(m + 1) = 5m + 17 Reorder the terms: 7(1 + m) = 5m + 17 (1 * 7 + m * 7) = 5m + 17 (7 + 7m) = 5m + 17 Reorder the terms: 7 + 7m = 17 + 5m Solving 7 + 7m = 17 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 7 + 7m + -5m = 17 + 5m + -5m Combine like terms: 7m + -5m = 2m 7 + 2m = 17 + 5m + -5m Combine like terms: 5m + -5m = 0 7 + 2m = 17 + 0 7 + 2m = 17 Add '-7' to each side of the equation. 7 + -7 + 2m = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 17 + -7 2m = 17 + -7 Combine like terms: 17 + -7 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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