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Simplifying 5(2n + -2) = (2n + 5) + 9 Reorder the terms: 5(-2 + 2n) = (2n + 5) + 9 (-2 * 5 + 2n * 5) = (2n + 5) + 9 (-10 + 10n) = (2n + 5) + 9 Reorder the terms: -10 + 10n = (5 + 2n) + 9 Remove parenthesis around (5 + 2n) -10 + 10n = 5 + 2n + 9 Reorder the terms: -10 + 10n = 5 + 9 + 2n Combine like terms: 5 + 9 = 14 -10 + 10n = 14 + 2n Solving -10 + 10n = 14 + 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. -10 + 10n + -2n = 14 + 2n + -2n Combine like terms: 10n + -2n = 8n -10 + 8n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 8n = 14 + 0 -10 + 8n = 14 Add '10' to each side of the equation. -10 + 10 + 8n = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 8n = 14 + 10 8n = 14 + 10 Combine like terms: 14 + 10 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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