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Simplifying -13 = 5(1 + 4m) + -12 -13 = (1 * 5 + 4m * 5) + -12 -13 = (5 + 20m) + -12 Reorder the terms: -13 = 5 + -12 + 20m Combine like terms: 5 + -12 = -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 = 6 -20m = 6 Divide each side by '-20'. m = -0.3 Simplifying m = -0.3
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