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Simplifying -13 = 5(1 + 4n) + -2m -13 = (1 * 5 + 4n * 5) + -2m -13 = (5 + 20n) + -2m Reorder the terms: -13 = 5 + -2m + 20n Solving -13 = 5 + -2m + 20n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -13 + 2m = 5 + -2m + 2m + 20n Combine like terms: -2m + 2m = 0 -13 + 2m = 5 + 0 + 20n -13 + 2m = 5 + 20n Add '13' to each side of the equation. -13 + 13 + 2m = 5 + 13 + 20n Combine like terms: -13 + 13 = 0 0 + 2m = 5 + 13 + 20n 2m = 5 + 13 + 20n Combine like terms: 5 + 13 = 18 2m = 18 + 20n Divide each side by '2'. m = 9 + 10n Simplifying m = 9 + 10n
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