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