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