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Simplifying -3(1 + 8n) = 23 + 2n (1 * -3 + 8n * -3) = 23 + 2n (-3 + -24n) = 23 + 2n Solving -3 + -24n = 23 + 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. -3 + -24n + -2n = 23 + 2n + -2n Combine like terms: -24n + -2n = -26n -3 + -26n = 23 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + -26n = 23 + 0 -3 + -26n = 23 Add '3' to each side of the equation. -3 + 3 + -26n = 23 + 3 Combine like terms: -3 + 3 = 0 0 + -26n = 23 + 3 -26n = 23 + 3 Combine like terms: 23 + 3 = 26 -26n = 26 Divide each side by '-26'. n = -1 Simplifying n = -1
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