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Simplifying 10(-8n + 8) = -10(9n + -12) Reorder the terms: 10(8 + -8n) = -10(9n + -12) (8 * 10 + -8n * 10) = -10(9n + -12) (80 + -80n) = -10(9n + -12) Reorder the terms: 80 + -80n = -10(-12 + 9n) 80 + -80n = (-12 * -10 + 9n * -10) 80 + -80n = (120 + -90n) Solving 80 + -80n = 120 + -90n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '90n' to each side of the equation. 80 + -80n + 90n = 120 + -90n + 90n Combine like terms: -80n + 90n = 10n 80 + 10n = 120 + -90n + 90n Combine like terms: -90n + 90n = 0 80 + 10n = 120 + 0 80 + 10n = 120 Add '-80' to each side of the equation. 80 + -80 + 10n = 120 + -80 Combine like terms: 80 + -80 = 0 0 + 10n = 120 + -80 10n = 120 + -80 Combine like terms: 120 + -80 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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