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Simplifying -13 = 55(1 + 4m) + -2m -13 = (1 * 55 + 4m * 55) + -2m -13 = (55 + 220m) + -2m Combine like terms: 220m + -2m = 218m -13 = 55 + 218m Solving -13 = 55 + 218m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-218m' to each side of the equation. -13 + -218m = 55 + 218m + -218m Combine like terms: 218m + -218m = 0 -13 + -218m = 55 + 0 -13 + -218m = 55 Add '13' to each side of the equation. -13 + 13 + -218m = 55 + 13 Combine like terms: -13 + 13 = 0 0 + -218m = 55 + 13 -218m = 55 + 13 Combine like terms: 55 + 13 = 68 -218m = 68 Divide each side by '-218'. m = -0.3119266055 Simplifying m = -0.3119266055
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