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Simplifying 5(2n + -4) = (8n + 3) + 1 Reorder the terms: 5(-4 + 2n) = (8n + 3) + 1 (-4 * 5 + 2n * 5) = (8n + 3) + 1 (-20 + 10n) = (8n + 3) + 1 Reorder the terms: -20 + 10n = (3 + 8n) + 1 Remove parenthesis around (3 + 8n) -20 + 10n = 3 + 8n + 1 Reorder the terms: -20 + 10n = 3 + 1 + 8n Combine like terms: 3 + 1 = 4 -20 + 10n = 4 + 8n Solving -20 + 10n = 4 + 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. -20 + 10n + -8n = 4 + 8n + -8n Combine like terms: 10n + -8n = 2n -20 + 2n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 -20 + 2n = 4 + 0 -20 + 2n = 4 Add '20' to each side of the equation. -20 + 20 + 2n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 2n = 4 + 20 2n = 4 + 20 Combine like terms: 4 + 20 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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