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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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