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Simplifying -2 + 8(1 + -6n) = 6(1 + 6n) -2 + (1 * 8 + -6n * 8) = 6(1 + 6n) -2 + (8 + -48n) = 6(1 + 6n) Combine like terms: -2 + 8 = 6 6 + -48n = 6(1 + 6n) 6 + -48n = (1 * 6 + 6n * 6) 6 + -48n = (6 + 36n) Add '-6' to each side of the equation. 6 + -6 + -48n = 6 + -6 + 36n Combine like terms: 6 + -6 = 0 0 + -48n = 6 + -6 + 36n -48n = 6 + -6 + 36n Combine like terms: 6 + -6 = 0 -48n = 0 + 36n -48n = 36n Solving -48n = 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -48n + -36n = 36n + -36n Combine like terms: -48n + -36n = -84n -84n = 36n + -36n Combine like terms: 36n + -36n = 0 -84n = 0 Divide each side by '-84'. n = 0 Simplifying n = 0
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