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Simplifying 5 + 6(3n + 4) = -3(1 + -5n) + -1 Reorder the terms: 5 + 6(4 + 3n) = -3(1 + -5n) + -1 5 + (4 * 6 + 3n * 6) = -3(1 + -5n) + -1 5 + (24 + 18n) = -3(1 + -5n) + -1 Combine like terms: 5 + 24 = 29 29 + 18n = -3(1 + -5n) + -1 29 + 18n = (1 * -3 + -5n * -3) + -1 29 + 18n = (-3 + 15n) + -1 Reorder the terms: 29 + 18n = -3 + -1 + 15n Combine like terms: -3 + -1 = -4 29 + 18n = -4 + 15n Solving 29 + 18n = -4 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 29 + 18n + -15n = -4 + 15n + -15n Combine like terms: 18n + -15n = 3n 29 + 3n = -4 + 15n + -15n Combine like terms: 15n + -15n = 0 29 + 3n = -4 + 0 29 + 3n = -4 Add '-29' to each side of the equation. 29 + -29 + 3n = -4 + -29 Combine like terms: 29 + -29 = 0 0 + 3n = -4 + -29 3n = -4 + -29 Combine like terms: -4 + -29 = -33 3n = -33 Divide each side by '3'. n = -11 Simplifying n = -11
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