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Simplifying 13 = 5(1 + 2n) + -4(n + -4) 13 = (1 * 5 + 2n * 5) + -4(n + -4) 13 = (5 + 10n) + -4(n + -4) Reorder the terms: 13 = 5 + 10n + -4(-4 + n) 13 = 5 + 10n + (-4 * -4 + n * -4) 13 = 5 + 10n + (16 + -4n) Reorder the terms: 13 = 5 + 16 + 10n + -4n Combine like terms: 5 + 16 = 21 13 = 21 + 10n + -4n Combine like terms: 10n + -4n = 6n 13 = 21 + 6n Solving 13 = 21 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 13 + -6n = 21 + 6n + -6n Combine like terms: 6n + -6n = 0 13 + -6n = 21 + 0 13 + -6n = 21 Add '-13' to each side of the equation. 13 + -13 + -6n = 21 + -13 Combine like terms: 13 + -13 = 0 0 + -6n = 21 + -13 -6n = 21 + -13 Combine like terms: 21 + -13 = 8 -6n = 8 Divide each side by '-6'. n = -1.333333333 Simplifying n = -1.333333333
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