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Simplifying 7n + 4(1 + 6n) = -11 + 2n 7n + (1 * 4 + 6n * 4) = -11 + 2n 7n + (4 + 24n) = -11 + 2n Reorder the terms: 4 + 7n + 24n = -11 + 2n Combine like terms: 7n + 24n = 31n 4 + 31n = -11 + 2n Solving 4 + 31n = -11 + 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. 4 + 31n + -2n = -11 + 2n + -2n Combine like terms: 31n + -2n = 29n 4 + 29n = -11 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 29n = -11 + 0 4 + 29n = -11 Add '-4' to each side of the equation. 4 + -4 + 29n = -11 + -4 Combine like terms: 4 + -4 = 0 0 + 29n = -11 + -4 29n = -11 + -4 Combine like terms: -11 + -4 = -15 29n = -15 Divide each side by '29'. n = -0.5172413793 Simplifying n = -0.5172413793
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