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Simplifying 29 = -3(6n + 6) + 5(3 + 2n) Reorder the terms: 29 = -3(6 + 6n) + 5(3 + 2n) 29 = (6 * -3 + 6n * -3) + 5(3 + 2n) 29 = (-18 + -18n) + 5(3 + 2n) 29 = -18 + -18n + (3 * 5 + 2n * 5) 29 = -18 + -18n + (15 + 10n) Reorder the terms: 29 = -18 + 15 + -18n + 10n Combine like terms: -18 + 15 = -3 29 = -3 + -18n + 10n Combine like terms: -18n + 10n = -8n 29 = -3 + -8n Solving 29 = -3 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 29 + 8n = -3 + -8n + 8n Combine like terms: -8n + 8n = 0 29 + 8n = -3 + 0 29 + 8n = -3 Add '-29' to each side of the equation. 29 + -29 + 8n = -3 + -29 Combine like terms: 29 + -29 = 0 0 + 8n = -3 + -29 8n = -3 + -29 Combine like terms: -3 + -29 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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