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Simplifying 8(n + 8) = -2n + 24 Reorder the terms: 8(8 + n) = -2n + 24 (8 * 8 + n * 8) = -2n + 24 (64 + 8n) = -2n + 24 Reorder the terms: 64 + 8n = 24 + -2n Solving 64 + 8n = 24 + -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. 64 + 8n + 2n = 24 + -2n + 2n Combine like terms: 8n + 2n = 10n 64 + 10n = 24 + -2n + 2n Combine like terms: -2n + 2n = 0 64 + 10n = 24 + 0 64 + 10n = 24 Add '-64' to each side of the equation. 64 + -64 + 10n = 24 + -64 Combine like terms: 64 + -64 = 0 0 + 10n = 24 + -64 10n = 24 + -64 Combine like terms: 24 + -64 = -40 10n = -40 Divide each side by '10'. n = -4 Simplifying n = -4
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