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Simplifying 7(n + 6) + -1(2 + 8n) = 2n Reorder the terms: 7(6 + n) + -1(2 + 8n) = 2n (6 * 7 + n * 7) + -1(2 + 8n) = 2n (42 + 7n) + -1(2 + 8n) = 2n 42 + 7n + (2 * -1 + 8n * -1) = 2n 42 + 7n + (-2 + -8n) = 2n Reorder the terms: 42 + -2 + 7n + -8n = 2n Combine like terms: 42 + -2 = 40 40 + 7n + -8n = 2n Combine like terms: 7n + -8n = -1n 40 + -1n = 2n Solving 40 + -1n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 40 + -1n + -2n = 2n + -2n Combine like terms: -1n + -2n = -3n 40 + -3n = 2n + -2n Combine like terms: 2n + -2n = 0 40 + -3n = 0 Add '-40' to each side of the equation. 40 + -40 + -3n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3n = 0 + -40 -3n = 0 + -40 Combine like terms: 0 + -40 = -40 -3n = -40 Divide each side by '-3'. n = 13.33333333 Simplifying n = 13.33333333
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