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Simplifying -13 = 5(1 + 4m) + -7m -13 = (1 * 5 + 4m * 5) + -7m -13 = (5 + 20m) + -7m Combine like terms: 20m + -7m = 13m -13 = 5 + 13m Solving -13 = 5 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. -13 + -13m = 5 + 13m + -13m Combine like terms: 13m + -13m = 0 -13 + -13m = 5 + 0 -13 + -13m = 5 Add '13' to each side of the equation. -13 + 13 + -13m = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -13m = 5 + 13 -13m = 5 + 13 Combine like terms: 5 + 13 = 18 -13m = 18 Divide each side by '-13'. m = -1.384615385 Simplifying m = -1.384615385
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