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Simplifying -4(n + 6) = 8(2n + -8) Reorder the terms: -4(6 + n) = 8(2n + -8) (6 * -4 + n * -4) = 8(2n + -8) (-24 + -4n) = 8(2n + -8) Reorder the terms: -24 + -4n = 8(-8 + 2n) -24 + -4n = (-8 * 8 + 2n * 8) -24 + -4n = (-64 + 16n) Solving -24 + -4n = -64 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -24 + -4n + -16n = -64 + 16n + -16n Combine like terms: -4n + -16n = -20n -24 + -20n = -64 + 16n + -16n Combine like terms: 16n + -16n = 0 -24 + -20n = -64 + 0 -24 + -20n = -64 Add '24' to each side of the equation. -24 + 24 + -20n = -64 + 24 Combine like terms: -24 + 24 = 0 0 + -20n = -64 + 24 -20n = -64 + 24 Combine like terms: -64 + 24 = -40 -20n = -40 Divide each side by '-20'. n = 2 Simplifying n = 2
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