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Simplifying 5(2m + 7) = 3(2m + 3) Reorder the terms: 5(7 + 2m) = 3(2m + 3) (7 * 5 + 2m * 5) = 3(2m + 3) (35 + 10m) = 3(2m + 3) Reorder the terms: 35 + 10m = 3(3 + 2m) 35 + 10m = (3 * 3 + 2m * 3) 35 + 10m = (9 + 6m) Solving 35 + 10m = 9 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 35 + 10m + -6m = 9 + 6m + -6m Combine like terms: 10m + -6m = 4m 35 + 4m = 9 + 6m + -6m Combine like terms: 6m + -6m = 0 35 + 4m = 9 + 0 35 + 4m = 9 Add '-35' to each side of the equation. 35 + -35 + 4m = 9 + -35 Combine like terms: 35 + -35 = 0 0 + 4m = 9 + -35 4m = 9 + -35 Combine like terms: 9 + -35 = -26 4m = -26 Divide each side by '4'. m = -6.5 Simplifying m = -6.5
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