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Simplifying -7(1 + -4m) = 13(2m + 3) (1 * -7 + -4m * -7) = 13(2m + 3) (-7 + 28m) = 13(2m + 3) Reorder the terms: -7 + 28m = 13(3 + 2m) -7 + 28m = (3 * 13 + 2m * 13) -7 + 28m = (39 + 26m) Solving -7 + 28m = 39 + 26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26m' to each side of the equation. -7 + 28m + -26m = 39 + 26m + -26m Combine like terms: 28m + -26m = 2m -7 + 2m = 39 + 26m + -26m Combine like terms: 26m + -26m = 0 -7 + 2m = 39 + 0 -7 + 2m = 39 Add '7' to each side of the equation. -7 + 7 + 2m = 39 + 7 Combine like terms: -7 + 7 = 0 0 + 2m = 39 + 7 2m = 39 + 7 Combine like terms: 39 + 7 = 46 2m = 46 Divide each side by '2'. m = 23 Simplifying m = 23
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