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Simplifying 76 = 3(6 + -6n) + -8(n + -4) 76 = (6 * 3 + -6n * 3) + -8(n + -4) 76 = (18 + -18n) + -8(n + -4) Reorder the terms: 76 = 18 + -18n + -8(-4 + n) 76 = 18 + -18n + (-4 * -8 + n * -8) 76 = 18 + -18n + (32 + -8n) Reorder the terms: 76 = 18 + 32 + -18n + -8n Combine like terms: 18 + 32 = 50 76 = 50 + -18n + -8n Combine like terms: -18n + -8n = -26n 76 = 50 + -26n Solving 76 = 50 + -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. 76 + 26n = 50 + -26n + 26n Combine like terms: -26n + 26n = 0 76 + 26n = 50 + 0 76 + 26n = 50 Add '-76' to each side of the equation. 76 + -76 + 26n = 50 + -76 Combine like terms: 76 + -76 = 0 0 + 26n = 50 + -76 26n = 50 + -76 Combine like terms: 50 + -76 = -26 26n = -26 Divide each side by '26'. n = -1 Simplifying n = -1
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