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Simplifying -80 = 2(n + -8) + -8(n + 8) Reorder the terms: -80 = 2(-8 + n) + -8(n + 8) -80 = (-8 * 2 + n * 2) + -8(n + 8) -80 = (-16 + 2n) + -8(n + 8) Reorder the terms: -80 = -16 + 2n + -8(8 + n) -80 = -16 + 2n + (8 * -8 + n * -8) -80 = -16 + 2n + (-64 + -8n) Reorder the terms: -80 = -16 + -64 + 2n + -8n Combine like terms: -16 + -64 = -80 -80 = -80 + 2n + -8n Combine like terms: 2n + -8n = -6n -80 = -80 + -6n Add '80' to each side of the equation. -80 + 80 = -80 + 80 + -6n Combine like terms: -80 + 80 = 0 0 = -80 + 80 + -6n Combine like terms: -80 + 80 = 0 0 = 0 + -6n 0 = -6n Solving 0 = -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. 0 + 6n = -6n + 6n Remove the zero: 6n = -6n + 6n Combine like terms: -6n + 6n = 0 6n = 0 Divide each side by '6'. n = 0 Simplifying n = 0
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