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Simplifying -29 = 4(1 + -2n) + 5(n + -6) -29 = (1 * 4 + -2n * 4) + 5(n + -6) -29 = (4 + -8n) + 5(n + -6) Reorder the terms: -29 = 4 + -8n + 5(-6 + n) -29 = 4 + -8n + (-6 * 5 + n * 5) -29 = 4 + -8n + (-30 + 5n) Reorder the terms: -29 = 4 + -30 + -8n + 5n Combine like terms: 4 + -30 = -26 -29 = -26 + -8n + 5n Combine like terms: -8n + 5n = -3n -29 = -26 + -3n Solving -29 = -26 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -29 + 3n = -26 + -3n + 3n Combine like terms: -3n + 3n = 0 -29 + 3n = -26 + 0 -29 + 3n = -26 Add '29' to each side of the equation. -29 + 29 + 3n = -26 + 29 Combine like terms: -29 + 29 = 0 0 + 3n = -26 + 29 3n = -26 + 29 Combine like terms: -26 + 29 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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