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Simplifying -7(1 + -1m) = 13(2m + -3) (1 * -7 + -1m * -7) = 13(2m + -3) (-7 + 7m) = 13(2m + -3) Reorder the terms: -7 + 7m = 13(-3 + 2m) -7 + 7m = (-3 * 13 + 2m * 13) -7 + 7m = (-39 + 26m) Solving -7 + 7m = -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 + 7m + -26m = -39 + 26m + -26m Combine like terms: 7m + -26m = -19m -7 + -19m = -39 + 26m + -26m Combine like terms: 26m + -26m = 0 -7 + -19m = -39 + 0 -7 + -19m = -39 Add '7' to each side of the equation. -7 + 7 + -19m = -39 + 7 Combine like terms: -7 + 7 = 0 0 + -19m = -39 + 7 -19m = -39 + 7 Combine like terms: -39 + 7 = -32 -19m = -32 Divide each side by '-19'. m = 1.684210526 Simplifying m = 1.684210526
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