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Simplifying 8(n + 5) = -2n + 20 Reorder the terms: 8(5 + n) = -2n + 20 (5 * 8 + n * 8) = -2n + 20 (40 + 8n) = -2n + 20 Reorder the terms: 40 + 8n = 20 + -2n Solving 40 + 8n = 20 + -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. 40 + 8n + 2n = 20 + -2n + 2n Combine like terms: 8n + 2n = 10n 40 + 10n = 20 + -2n + 2n Combine like terms: -2n + 2n = 0 40 + 10n = 20 + 0 40 + 10n = 20 Add '-40' to each side of the equation. 40 + -40 + 10n = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 10n = 20 + -40 10n = 20 + -40 Combine like terms: 20 + -40 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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