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Simplifying -6(8 + 6n) = 20 + -2n (8 * -6 + 6n * -6) = 20 + -2n (-48 + -36n) = 20 + -2n Solving -48 + -36n = 20 + -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. -48 + -36n + 2n = 20 + -2n + 2n Combine like terms: -36n + 2n = -34n -48 + -34n = 20 + -2n + 2n Combine like terms: -2n + 2n = 0 -48 + -34n = 20 + 0 -48 + -34n = 20 Add '48' to each side of the equation. -48 + 48 + -34n = 20 + 48 Combine like terms: -48 + 48 = 0 0 + -34n = 20 + 48 -34n = 20 + 48 Combine like terms: 20 + 48 = 68 -34n = 68 Divide each side by '-34'. n = -2 Simplifying n = -2
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