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Simplifying -6(-3 + n) = -4(n + -8) (-3 * -6 + n * -6) = -4(n + -8) (18 + -6n) = -4(n + -8) Reorder the terms: 18 + -6n = -4(-8 + n) 18 + -6n = (-8 * -4 + n * -4) 18 + -6n = (32 + -4n) Solving 18 + -6n = 32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 18 + -6n + 4n = 32 + -4n + 4n Combine like terms: -6n + 4n = -2n 18 + -2n = 32 + -4n + 4n Combine like terms: -4n + 4n = 0 18 + -2n = 32 + 0 18 + -2n = 32 Add '-18' to each side of the equation. 18 + -18 + -2n = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -2n = 32 + -18 -2n = 32 + -18 Combine like terms: 32 + -18 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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