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