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Simplifying 4(n + 1) = -10n + 8(n + 5) Reorder the terms: 4(1 + n) = -10n + 8(n + 5) (1 * 4 + n * 4) = -10n + 8(n + 5) (4 + 4n) = -10n + 8(n + 5) Reorder the terms: 4 + 4n = -10n + 8(5 + n) 4 + 4n = -10n + (5 * 8 + n * 8) 4 + 4n = -10n + (40 + 8n) Reorder the terms: 4 + 4n = 40 + -10n + 8n Combine like terms: -10n + 8n = -2n 4 + 4n = 40 + -2n Solving 4 + 4n = 40 + -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. 4 + 4n + 2n = 40 + -2n + 2n Combine like terms: 4n + 2n = 6n 4 + 6n = 40 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 6n = 40 + 0 4 + 6n = 40 Add '-4' to each side of the equation. 4 + -4 + 6n = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 40 + -4 6n = 40 + -4 Combine like terms: 40 + -4 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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