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Simplifying 0 = 4(-8 + 6n) + -8(n + 8) 0 = (-8 * 4 + 6n * 4) + -8(n + 8) 0 = (-32 + 24n) + -8(n + 8) Reorder the terms: 0 = -32 + 24n + -8(8 + n) 0 = -32 + 24n + (8 * -8 + n * -8) 0 = -32 + 24n + (-64 + -8n) Reorder the terms: 0 = -32 + -64 + 24n + -8n Combine like terms: -32 + -64 = -96 0 = -96 + 24n + -8n Combine like terms: 24n + -8n = 16n 0 = -96 + 16n Solving 0 = -96 + 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. 0 + -16n = -96 + 16n + -16n Remove the zero: -16n = -96 + 16n + -16n Combine like terms: 16n + -16n = 0 -16n = -96 + 0 -16n = -96 Divide each side by '-16'. n = 6 Simplifying n = 6
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