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Simplifying -2n + -4(1 + -5n) = 7n + 29 -2n + (1 * -4 + -5n * -4) = 7n + 29 -2n + (-4 + 20n) = 7n + 29 Reorder the terms: -4 + -2n + 20n = 7n + 29 Combine like terms: -2n + 20n = 18n -4 + 18n = 7n + 29 Reorder the terms: -4 + 18n = 29 + 7n Solving -4 + 18n = 29 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + 18n + -7n = 29 + 7n + -7n Combine like terms: 18n + -7n = 11n -4 + 11n = 29 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + 11n = 29 + 0 -4 + 11n = 29 Add '4' to each side of the equation. -4 + 4 + 11n = 29 + 4 Combine like terms: -4 + 4 = 0 0 + 11n = 29 + 4 11n = 29 + 4 Combine like terms: 29 + 4 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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