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Simplifying 6(8 + -3n) = -2(3 + 6n) (8 * 6 + -3n * 6) = -2(3 + 6n) (48 + -18n) = -2(3 + 6n) 48 + -18n = (3 * -2 + 6n * -2) 48 + -18n = (-6 + -12n) Solving 48 + -18n = -6 + -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 + -18n + 12n = -6 + -12n + 12n Combine like terms: -18n + 12n = -6n 48 + -6n = -6 + -12n + 12n Combine like terms: -12n + 12n = 0 48 + -6n = -6 + 0 48 + -6n = -6 Add '-48' to each side of the equation. 48 + -48 + -6n = -6 + -48 Combine like terms: 48 + -48 = 0 0 + -6n = -6 + -48 -6n = -6 + -48 Combine like terms: -6 + -48 = -54 -6n = -54 Divide each side by '-6'. n = 9 Simplifying n = 9
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