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