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Simplifying -13 = 5(n + 4m) + -2m Reorder the terms: -13 = 5(4m + n) + -2m -13 = (4m * 5 + n * 5) + -2m -13 = (20m + 5n) + -2m Reorder the terms: -13 = 20m + -2m + 5n Combine like terms: 20m + -2m = 18m -13 = 18m + 5n Solving -13 = 18m + 5n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. -13 + -18m = 18m + -18m + 5n Combine like terms: 18m + -18m = 0 -13 + -18m = 0 + 5n -13 + -18m = 5n Add '13' to each side of the equation. -13 + 13 + -18m = 13 + 5n Combine like terms: -13 + 13 = 0 0 + -18m = 13 + 5n -18m = 13 + 5n Divide each side by '-18'. m = -0.7222222222 + -0.2777777778n Simplifying m = -0.7222222222 + -0.2777777778n
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