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Simplifying 8n + 6n = 6(9n + -3) + -2(n + 10) Combine like terms: 8n + 6n = 14n 14n = 6(9n + -3) + -2(n + 10) Reorder the terms: 14n = 6(-3 + 9n) + -2(n + 10) 14n = (-3 * 6 + 9n * 6) + -2(n + 10) 14n = (-18 + 54n) + -2(n + 10) Reorder the terms: 14n = -18 + 54n + -2(10 + n) 14n = -18 + 54n + (10 * -2 + n * -2) 14n = -18 + 54n + (-20 + -2n) Reorder the terms: 14n = -18 + -20 + 54n + -2n Combine like terms: -18 + -20 = -38 14n = -38 + 54n + -2n Combine like terms: 54n + -2n = 52n 14n = -38 + 52n Solving 14n = -38 + 52n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52n' to each side of the equation. 14n + -52n = -38 + 52n + -52n Combine like terms: 14n + -52n = -38n -38n = -38 + 52n + -52n Combine like terms: 52n + -52n = 0 -38n = -38 + 0 -38n = -38 Divide each side by '-38'. n = 1 Simplifying n = 1
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