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Simplifying -7(7 + -4m) = 13(2m + -3) (7 * -7 + -4m * -7) = 13(2m + -3) (-49 + 28m) = 13(2m + -3) Reorder the terms: -49 + 28m = 13(-3 + 2m) -49 + 28m = (-3 * 13 + 2m * 13) -49 + 28m = (-39 + 26m) Solving -49 + 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. -49 + 28m + -26m = -39 + 26m + -26m Combine like terms: 28m + -26m = 2m -49 + 2m = -39 + 26m + -26m Combine like terms: 26m + -26m = 0 -49 + 2m = -39 + 0 -49 + 2m = -39 Add '49' to each side of the equation. -49 + 49 + 2m = -39 + 49 Combine like terms: -49 + 49 = 0 0 + 2m = -39 + 49 2m = -39 + 49 Combine like terms: -39 + 49 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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