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Simplifying 6(3n + 3) + -8n = -2(n + -5) + 8 Reorder the terms: 6(3 + 3n) + -8n = -2(n + -5) + 8 (3 * 6 + 3n * 6) + -8n = -2(n + -5) + 8 (18 + 18n) + -8n = -2(n + -5) + 8 Combine like terms: 18n + -8n = 10n 18 + 10n = -2(n + -5) + 8 Reorder the terms: 18 + 10n = -2(-5 + n) + 8 18 + 10n = (-5 * -2 + n * -2) + 8 18 + 10n = (10 + -2n) + 8 Reorder the terms: 18 + 10n = 10 + 8 + -2n Combine like terms: 10 + 8 = 18 18 + 10n = 18 + -2n Add '-18' to each side of the equation. 18 + -18 + 10n = 18 + -18 + -2n Combine like terms: 18 + -18 = 0 0 + 10n = 18 + -18 + -2n 10n = 18 + -18 + -2n Combine like terms: 18 + -18 = 0 10n = 0 + -2n 10n = -2n Solving 10n = -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. 10n + 2n = -2n + 2n Combine like terms: 10n + 2n = 12n 12n = -2n + 2n Combine like terms: -2n + 2n = 0 12n = 0 Divide each side by '12'. n = 0 Simplifying n = 0
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