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Simplifying -1(n + -8) + -1n = -8n + 2(4n + -4) Reorder the terms: -1(-8 + n) + -1n = -8n + 2(4n + -4) (-8 * -1 + n * -1) + -1n = -8n + 2(4n + -4) (8 + -1n) + -1n = -8n + 2(4n + -4) Combine like terms: -1n + -1n = -2n 8 + -2n = -8n + 2(4n + -4) Reorder the terms: 8 + -2n = -8n + 2(-4 + 4n) 8 + -2n = -8n + (-4 * 2 + 4n * 2) 8 + -2n = -8n + (-8 + 8n) Reorder the terms: 8 + -2n = -8 + -8n + 8n Combine like terms: -8n + 8n = 0 8 + -2n = -8 + 0 8 + -2n = -8 Solving 8 + -2n = -8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2n = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -8 + -8 -2n = -8 + -8 Combine like terms: -8 + -8 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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