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Simplifying 7m + 17 = 5(2m + 1) Reorder the terms: 17 + 7m = 5(2m + 1) Reorder the terms: 17 + 7m = 5(1 + 2m) 17 + 7m = (1 * 5 + 2m * 5) 17 + 7m = (5 + 10m) Solving 17 + 7m = 5 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 17 + 7m + -10m = 5 + 10m + -10m Combine like terms: 7m + -10m = -3m 17 + -3m = 5 + 10m + -10m Combine like terms: 10m + -10m = 0 17 + -3m = 5 + 0 17 + -3m = 5 Add '-17' to each side of the equation. 17 + -17 + -3m = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -3m = 5 + -17 -3m = 5 + -17 Combine like terms: 5 + -17 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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