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Simplifying -1(-6n + -6) + -11(6 + -2n) = 5n + 8n Reorder the terms: -1(-6 + -6n) + -11(6 + -2n) = 5n + 8n (-6 * -1 + -6n * -1) + -11(6 + -2n) = 5n + 8n (6 + 6n) + -11(6 + -2n) = 5n + 8n 6 + 6n + (6 * -11 + -2n * -11) = 5n + 8n 6 + 6n + (-66 + 22n) = 5n + 8n Reorder the terms: 6 + -66 + 6n + 22n = 5n + 8n Combine like terms: 6 + -66 = -60 -60 + 6n + 22n = 5n + 8n Combine like terms: 6n + 22n = 28n -60 + 28n = 5n + 8n Combine like terms: 5n + 8n = 13n -60 + 28n = 13n Solving -60 + 28n = 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -60 + 28n + -13n = 13n + -13n Combine like terms: 28n + -13n = 15n -60 + 15n = 13n + -13n Combine like terms: 13n + -13n = 0 -60 + 15n = 0 Add '60' to each side of the equation. -60 + 60 + 15n = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 15n = 0 + 60 15n = 0 + 60 Combine like terms: 0 + 60 = 60 15n = 60 Divide each side by '15'. n = 4 Simplifying n = 4
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