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Simplifying 5(-2n + 4) + 2(n + -3) = 0 Reorder the terms: 5(4 + -2n) + 2(n + -3) = 0 (4 * 5 + -2n * 5) + 2(n + -3) = 0 (20 + -10n) + 2(n + -3) = 0 Reorder the terms: 20 + -10n + 2(-3 + n) = 0 20 + -10n + (-3 * 2 + n * 2) = 0 20 + -10n + (-6 + 2n) = 0 Reorder the terms: 20 + -6 + -10n + 2n = 0 Combine like terms: 20 + -6 = 14 14 + -10n + 2n = 0 Combine like terms: -10n + 2n = -8n 14 + -8n = 0 Solving 14 + -8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -8n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -8n = 0 + -14 -8n = 0 + -14 Combine like terms: 0 + -14 = -14 -8n = -14 Divide each side by '-8'. n = 1.75 Simplifying n = 1.75
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