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Simplifying 6(-8n + 3) + -2n = 2(n + 9) Reorder the terms: 6(3 + -8n) + -2n = 2(n + 9) (3 * 6 + -8n * 6) + -2n = 2(n + 9) (18 + -48n) + -2n = 2(n + 9) Combine like terms: -48n + -2n = -50n 18 + -50n = 2(n + 9) Reorder the terms: 18 + -50n = 2(9 + n) 18 + -50n = (9 * 2 + n * 2) 18 + -50n = (18 + 2n) Add '-18' to each side of the equation. 18 + -18 + -50n = 18 + -18 + 2n Combine like terms: 18 + -18 = 0 0 + -50n = 18 + -18 + 2n -50n = 18 + -18 + 2n Combine like terms: 18 + -18 = 0 -50n = 0 + 2n -50n = 2n Solving -50n = 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. -50n + -2n = 2n + -2n Combine like terms: -50n + -2n = -52n -52n = 2n + -2n Combine like terms: 2n + -2n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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