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Simplifying 5 + -1(1 + -2n) = 3(n + -3) 5 + (1 * -1 + -2n * -1) = 3(n + -3) 5 + (-1 + 2n) = 3(n + -3) Combine like terms: 5 + -1 = 4 4 + 2n = 3(n + -3) Reorder the terms: 4 + 2n = 3(-3 + n) 4 + 2n = (-3 * 3 + n * 3) 4 + 2n = (-9 + 3n) Solving 4 + 2n = -9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 2n + -3n = -9 + 3n + -3n Combine like terms: 2n + -3n = -1n 4 + -1n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -1n = -9 + 0 4 + -1n = -9 Add '-4' to each side of the equation. 4 + -4 + -1n = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -9 + -4 -1n = -9 + -4 Combine like terms: -9 + -4 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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