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Simplifying -3(4n + 6) = -6(n + -8) Reorder the terms: -3(6 + 4n) = -6(n + -8) (6 * -3 + 4n * -3) = -6(n + -8) (-18 + -12n) = -6(n + -8) Reorder the terms: -18 + -12n = -6(-8 + n) -18 + -12n = (-8 * -6 + n * -6) -18 + -12n = (48 + -6n) Solving -18 + -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. -18 + -12n + 6n = 48 + -6n + 6n Combine like terms: -12n + 6n = -6n -18 + -6n = 48 + -6n + 6n Combine like terms: -6n + 6n = 0 -18 + -6n = 48 + 0 -18 + -6n = 48 Add '18' to each side of the equation. -18 + 18 + -6n = 48 + 18 Combine like terms: -18 + 18 = 0 0 + -6n = 48 + 18 -6n = 48 + 18 Combine like terms: 48 + 18 = 66 -6n = 66 Divide each side by '-6'. n = -11 Simplifying n = -11
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