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Simplifying -71(1 + -4m) = 13(2m + -3) (1 * -71 + -4m * -71) = 13(2m + -3) (-71 + 284m) = 13(2m + -3) Reorder the terms: -71 + 284m = 13(-3 + 2m) -71 + 284m = (-3 * 13 + 2m * 13) -71 + 284m = (-39 + 26m) Solving -71 + 284m = -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. -71 + 284m + -26m = -39 + 26m + -26m Combine like terms: 284m + -26m = 258m -71 + 258m = -39 + 26m + -26m Combine like terms: 26m + -26m = 0 -71 + 258m = -39 + 0 -71 + 258m = -39 Add '71' to each side of the equation. -71 + 71 + 258m = -39 + 71 Combine like terms: -71 + 71 = 0 0 + 258m = -39 + 71 258m = -39 + 71 Combine like terms: -39 + 71 = 32 258m = 32 Divide each side by '258'. m = 0.1240310078 Simplifying m = 0.1240310078
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