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Simplifying 7(5 + 4m) = 7(1 + 5m) (5 * 7 + 4m * 7) = 7(1 + 5m) (35 + 28m) = 7(1 + 5m) 35 + 28m = (1 * 7 + 5m * 7) 35 + 28m = (7 + 35m) Solving 35 + 28m = 7 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 35 + 28m + -35m = 7 + 35m + -35m Combine like terms: 28m + -35m = -7m 35 + -7m = 7 + 35m + -35m Combine like terms: 35m + -35m = 0 35 + -7m = 7 + 0 35 + -7m = 7 Add '-35' to each side of the equation. 35 + -35 + -7m = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -7m = 7 + -35 -7m = 7 + -35 Combine like terms: 7 + -35 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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