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