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Simplifying -2n + -8(n + -8) = -21 + 7n Reorder the terms: -2n + -8(-8 + n) = -21 + 7n -2n + (-8 * -8 + n * -8) = -21 + 7n -2n + (64 + -8n) = -21 + 7n Reorder the terms: 64 + -2n + -8n = -21 + 7n Combine like terms: -2n + -8n = -10n 64 + -10n = -21 + 7n Solving 64 + -10n = -21 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 64 + -10n + -7n = -21 + 7n + -7n Combine like terms: -10n + -7n = -17n 64 + -17n = -21 + 7n + -7n Combine like terms: 7n + -7n = 0 64 + -17n = -21 + 0 64 + -17n = -21 Add '-64' to each side of the equation. 64 + -64 + -17n = -21 + -64 Combine like terms: 64 + -64 = 0 0 + -17n = -21 + -64 -17n = -21 + -64 Combine like terms: -21 + -64 = -85 -17n = -85 Divide each side by '-17'. n = 5 Simplifying n = 5
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