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Simplifying 2(n + -4) + -3(2n + -8) = 4(3n + 2) + -24 Reorder the terms: 2(-4 + n) + -3(2n + -8) = 4(3n + 2) + -24 (-4 * 2 + n * 2) + -3(2n + -8) = 4(3n + 2) + -24 (-8 + 2n) + -3(2n + -8) = 4(3n + 2) + -24 Reorder the terms: -8 + 2n + -3(-8 + 2n) = 4(3n + 2) + -24 -8 + 2n + (-8 * -3 + 2n * -3) = 4(3n + 2) + -24 -8 + 2n + (24 + -6n) = 4(3n + 2) + -24 Reorder the terms: -8 + 24 + 2n + -6n = 4(3n + 2) + -24 Combine like terms: -8 + 24 = 16 16 + 2n + -6n = 4(3n + 2) + -24 Combine like terms: 2n + -6n = -4n 16 + -4n = 4(3n + 2) + -24 Reorder the terms: 16 + -4n = 4(2 + 3n) + -24 16 + -4n = (2 * 4 + 3n * 4) + -24 16 + -4n = (8 + 12n) + -24 Reorder the terms: 16 + -4n = 8 + -24 + 12n Combine like terms: 8 + -24 = -16 16 + -4n = -16 + 12n Solving 16 + -4n = -16 + 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. 16 + -4n + -12n = -16 + 12n + -12n Combine like terms: -4n + -12n = -16n 16 + -16n = -16 + 12n + -12n Combine like terms: 12n + -12n = 0 16 + -16n = -16 + 0 16 + -16n = -16 Add '-16' to each side of the equation. 16 + -16 + -16n = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -16n = -16 + -16 -16n = -16 + -16 Combine like terms: -16 + -16 = -32 -16n = -32 Divide each side by '-16'. n = 2 Simplifying n = 2
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