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Simplifying -1(n + -8) = 8(n + -8) + 9n Reorder the terms: -1(-8 + n) = 8(n + -8) + 9n (-8 * -1 + n * -1) = 8(n + -8) + 9n (8 + -1n) = 8(n + -8) + 9n Reorder the terms: 8 + -1n = 8(-8 + n) + 9n 8 + -1n = (-8 * 8 + n * 8) + 9n 8 + -1n = (-64 + 8n) + 9n Combine like terms: 8n + 9n = 17n 8 + -1n = -64 + 17n Solving 8 + -1n = -64 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 8 + -1n + -17n = -64 + 17n + -17n Combine like terms: -1n + -17n = -18n 8 + -18n = -64 + 17n + -17n Combine like terms: 17n + -17n = 0 8 + -18n = -64 + 0 8 + -18n = -64 Add '-8' to each side of the equation. 8 + -8 + -18n = -64 + -8 Combine like terms: 8 + -8 = 0 0 + -18n = -64 + -8 -18n = -64 + -8 Combine like terms: -64 + -8 = -72 -18n = -72 Divide each side by '-18'. n = 4 Simplifying n = 4
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