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Simplifying -6(n + -1) + 3(8 + 2n) = -1n + -2n Reorder the terms: -6(-1 + n) + 3(8 + 2n) = -1n + -2n (-1 * -6 + n * -6) + 3(8 + 2n) = -1n + -2n (6 + -6n) + 3(8 + 2n) = -1n + -2n 6 + -6n + (8 * 3 + 2n * 3) = -1n + -2n 6 + -6n + (24 + 6n) = -1n + -2n Reorder the terms: 6 + 24 + -6n + 6n = -1n + -2n Combine like terms: 6 + 24 = 30 30 + -6n + 6n = -1n + -2n Combine like terms: -6n + 6n = 0 30 + 0 = -1n + -2n 30 = -1n + -2n Combine like terms: -1n + -2n = -3n 30 = -3n Solving 30 = -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. 30 + 3n = -3n + 3n Combine like terms: -3n + 3n = 0 30 + 3n = 0 Add '-30' to each side of the equation. 30 + -30 + 3n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 3n = 0 + -30 3n = 0 + -30 Combine like terms: 0 + -30 = -30 3n = -30 Divide each side by '3'. n = -10 Simplifying n = -10
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