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Simplifying -10(-1n + -8) + -2n = -4(2n + 4) Reorder the terms: -10(-8 + -1n) + -2n = -4(2n + 4) (-8 * -10 + -1n * -10) + -2n = -4(2n + 4) (80 + 10n) + -2n = -4(2n + 4) Combine like terms: 10n + -2n = 8n 80 + 8n = -4(2n + 4) Reorder the terms: 80 + 8n = -4(4 + 2n) 80 + 8n = (4 * -4 + 2n * -4) 80 + 8n = (-16 + -8n) Solving 80 + 8n = -16 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 80 + 8n + 8n = -16 + -8n + 8n Combine like terms: 8n + 8n = 16n 80 + 16n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 80 + 16n = -16 + 0 80 + 16n = -16 Add '-80' to each side of the equation. 80 + -80 + 16n = -16 + -80 Combine like terms: 80 + -80 = 0 0 + 16n = -16 + -80 16n = -16 + -80 Combine like terms: -16 + -80 = -96 16n = -96 Divide each side by '16'. n = -6 Simplifying n = -6
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