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Simplifying -26 = 4(8n + 6) + -2(3n + -1) Reorder the terms: -26 = 4(6 + 8n) + -2(3n + -1) -26 = (6 * 4 + 8n * 4) + -2(3n + -1) -26 = (24 + 32n) + -2(3n + -1) Reorder the terms: -26 = 24 + 32n + -2(-1 + 3n) -26 = 24 + 32n + (-1 * -2 + 3n * -2) -26 = 24 + 32n + (2 + -6n) Reorder the terms: -26 = 24 + 2 + 32n + -6n Combine like terms: 24 + 2 = 26 -26 = 26 + 32n + -6n Combine like terms: 32n + -6n = 26n -26 = 26 + 26n Solving -26 = 26 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. -26 + -26n = 26 + 26n + -26n Combine like terms: 26n + -26n = 0 -26 + -26n = 26 + 0 -26 + -26n = 26 Add '26' to each side of the equation. -26 + 26 + -26n = 26 + 26 Combine like terms: -26 + 26 = 0 0 + -26n = 26 + 26 -26n = 26 + 26 Combine like terms: 26 + 26 = 52 -26n = 52 Divide each side by '-26'. n = -2 Simplifying n = -2
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