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Simplifying -13 = 5(1 + 4m) + -1(-2m) -13 = (1 * 5 + 4m * 5) + -1(-2m) -13 = (5 + 20m) + -1(-2m) Remove parenthesis around (-2m) -13 = 5 + 20m + -1 * -2m Multiply -1 * -2 -13 = 5 + 20m + 2m Combine like terms: 20m + 2m = 22m -13 = 5 + 22m Solving -13 = 5 + 22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22m' to each side of the equation. -13 + -22m = 5 + 22m + -22m Combine like terms: 22m + -22m = 0 -13 + -22m = 5 + 0 -13 + -22m = 5 Add '13' to each side of the equation. -13 + 13 + -22m = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -22m = 5 + 13 -22m = 5 + 13 Combine like terms: 5 + 13 = 18 -22m = 18 Divide each side by '-22'. m = -0.8181818182 Simplifying m = -0.8181818182
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