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Simplifying 5(2n + -5) = (2n + 1) + 3 Reorder the terms: 5(-5 + 2n) = (2n + 1) + 3 (-5 * 5 + 2n * 5) = (2n + 1) + 3 (-25 + 10n) = (2n + 1) + 3 Reorder the terms: -25 + 10n = (1 + 2n) + 3 Remove parenthesis around (1 + 2n) -25 + 10n = 1 + 2n + 3 Reorder the terms: -25 + 10n = 1 + 3 + 2n Combine like terms: 1 + 3 = 4 -25 + 10n = 4 + 2n Solving -25 + 10n = 4 + 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. -25 + 10n + -2n = 4 + 2n + -2n Combine like terms: 10n + -2n = 8n -25 + 8n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -25 + 8n = 4 + 0 -25 + 8n = 4 Add '25' to each side of the equation. -25 + 25 + 8n = 4 + 25 Combine like terms: -25 + 25 = 0 0 + 8n = 4 + 25 8n = 4 + 25 Combine like terms: 4 + 25 = 29 8n = 29 Divide each side by '8'. n = 3.625 Simplifying n = 3.625
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