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Simplifying 6(2n + -1) = 6(n + -8) Reorder the terms: 6(-1 + 2n) = 6(n + -8) (-1 * 6 + 2n * 6) = 6(n + -8) (-6 + 12n) = 6(n + -8) Reorder the terms: -6 + 12n = 6(-8 + n) -6 + 12n = (-8 * 6 + n * 6) -6 + 12n = (-48 + 6n) Solving -6 + 12n = -48 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 12n + -6n = -48 + 6n + -6n Combine like terms: 12n + -6n = 6n -6 + 6n = -48 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 6n = -48 + 0 -6 + 6n = -48 Add '6' to each side of the equation. -6 + 6 + 6n = -48 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = -48 + 6 6n = -48 + 6 Combine like terms: -48 + 6 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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