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Simplifying -13 = 5(1 + 4m) + 2 -13 = (1 * 5 + 4m * 5) + 2 -13 = (5 + 20m) + 2 Reorder the terms: -13 = 5 + 2 + 20m Combine like terms: 5 + 2 = 7 -13 = 7 + 20m Solving -13 = 7 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -13 + -20m = 7 + 20m + -20m Combine like terms: 20m + -20m = 0 -13 + -20m = 7 + 0 -13 + -20m = 7 Add '13' to each side of the equation. -13 + 13 + -20m = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -20m = 7 + 13 -20m = 7 + 13 Combine like terms: 7 + 13 = 20 -20m = 20 Divide each side by '-20'. m = -1 Simplifying m = -1
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