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Simplifying 5m + 4 = 7(m + 1) + 2m Reorder the terms: 4 + 5m = 7(m + 1) + 2m Reorder the terms: 4 + 5m = 7(1 + m) + 2m 4 + 5m = (1 * 7 + m * 7) + 2m 4 + 5m = (7 + 7m) + 2m Combine like terms: 7m + 2m = 9m 4 + 5m = 7 + 9m Solving 4 + 5m = 7 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 4 + 5m + -9m = 7 + 9m + -9m Combine like terms: 5m + -9m = -4m 4 + -4m = 7 + 9m + -9m Combine like terms: 9m + -9m = 0 4 + -4m = 7 + 0 4 + -4m = 7 Add '-4' to each side of the equation. 4 + -4 + -4m = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -4m = 7 + -4 -4m = 7 + -4 Combine like terms: 7 + -4 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75
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