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Simplifying 5(m + 5) = 3(4m + 7) Reorder the terms: 5(5 + m) = 3(4m + 7) (5 * 5 + m * 5) = 3(4m + 7) (25 + 5m) = 3(4m + 7) Reorder the terms: 25 + 5m = 3(7 + 4m) 25 + 5m = (7 * 3 + 4m * 3) 25 + 5m = (21 + 12m) Solving 25 + 5m = 21 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 25 + 5m + -12m = 21 + 12m + -12m Combine like terms: 5m + -12m = -7m 25 + -7m = 21 + 12m + -12m Combine like terms: 12m + -12m = 0 25 + -7m = 21 + 0 25 + -7m = 21 Add '-25' to each side of the equation. 25 + -25 + -7m = 21 + -25 Combine like terms: 25 + -25 = 0 0 + -7m = 21 + -25 -7m = 21 + -25 Combine like terms: 21 + -25 = -4 -7m = -4 Divide each side by '-7'. m = 0.5714285714 Simplifying m = 0.5714285714
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