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Simplifying -1(n + -8) = 7n + -6(n + -1) Reorder the terms: -1(-8 + n) = 7n + -6(n + -1) (-8 * -1 + n * -1) = 7n + -6(n + -1) (8 + -1n) = 7n + -6(n + -1) Reorder the terms: 8 + -1n = 7n + -6(-1 + n) 8 + -1n = 7n + (-1 * -6 + n * -6) 8 + -1n = 7n + (6 + -6n) Reorder the terms: 8 + -1n = 6 + 7n + -6n Combine like terms: 7n + -6n = 1n 8 + -1n = 6 + 1n Solving 8 + -1n = 6 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 8 + -1n + -1n = 6 + 1n + -1n Combine like terms: -1n + -1n = -2n 8 + -2n = 6 + 1n + -1n Combine like terms: 1n + -1n = 0 8 + -2n = 6 + 0 8 + -2n = 6 Add '-8' to each side of the equation. 8 + -8 + -2n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 6 + -8 -2n = 6 + -8 Combine like terms: 6 + -8 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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