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Simplifying -2n + -40 = 3(6 + 8n) Reorder the terms: -40 + -2n = 3(6 + 8n) -40 + -2n = (6 * 3 + 8n * 3) -40 + -2n = (18 + 24n) Solving -40 + -2n = 18 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -40 + -2n + -24n = 18 + 24n + -24n Combine like terms: -2n + -24n = -26n -40 + -26n = 18 + 24n + -24n Combine like terms: 24n + -24n = 0 -40 + -26n = 18 + 0 -40 + -26n = 18 Add '40' to each side of the equation. -40 + 40 + -26n = 18 + 40 Combine like terms: -40 + 40 = 0 0 + -26n = 18 + 40 -26n = 18 + 40 Combine like terms: 18 + 40 = 58 -26n = 58 Divide each side by '-26'. n = -2.230769231 Simplifying n = -2.230769231
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