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Simplifying 5(4 + -2n) = -2(n + 3) (4 * 5 + -2n * 5) = -2(n + 3) (20 + -10n) = -2(n + 3) Reorder the terms: 20 + -10n = -2(3 + n) 20 + -10n = (3 * -2 + n * -2) 20 + -10n = (-6 + -2n) Solving 20 + -10n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 20 + -10n + 2n = -6 + -2n + 2n Combine like terms: -10n + 2n = -8n 20 + -8n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 20 + -8n = -6 + 0 20 + -8n = -6 Add '-20' to each side of the equation. 20 + -20 + -8n = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -8n = -6 + -20 -8n = -6 + -20 Combine like terms: -6 + -20 = -26 -8n = -26 Divide each side by '-8'. n = 3.25 Simplifying n = 3.25
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