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Simplifying -8(6n + -6) = -2 + 2n Reorder the terms: -8(-6 + 6n) = -2 + 2n (-6 * -8 + 6n * -8) = -2 + 2n (48 + -48n) = -2 + 2n Solving 48 + -48n = -2 + 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 + -48n + -2n = -2 + 2n + -2n Combine like terms: -48n + -2n = -50n 48 + -50n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 48 + -50n = -2 + 0 48 + -50n = -2 Add '-48' to each side of the equation. 48 + -48 + -50n = -2 + -48 Combine like terms: 48 + -48 = 0 0 + -50n = -2 + -48 -50n = -2 + -48 Combine like terms: -2 + -48 = -50 -50n = -50 Divide each side by '-50'. n = 1 Simplifying n = 1
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