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