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Simplifying 6 + -1(2n + -9) = 8 + -3n Reorder the terms: 6 + -1(-9 + 2n) = 8 + -3n 6 + (-9 * -1 + 2n * -1) = 8 + -3n 6 + (9 + -2n) = 8 + -3n Combine like terms: 6 + 9 = 15 15 + -2n = 8 + -3n Solving 15 + -2n = 8 + -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. 15 + -2n + 3n = 8 + -3n + 3n Combine like terms: -2n + 3n = 1n 15 + 1n = 8 + -3n + 3n Combine like terms: -3n + 3n = 0 15 + 1n = 8 + 0 15 + 1n = 8 Add '-15' to each side of the equation. 15 + -15 + 1n = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 8 + -15 1n = 8 + -15 Combine like terms: 8 + -15 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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