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Simplifying 2(4n + -9) = -5n + 13 Reorder the terms: 2(-9 + 4n) = -5n + 13 (-9 * 2 + 4n * 2) = -5n + 13 (-18 + 8n) = -5n + 13 Reorder the terms: -18 + 8n = 13 + -5n Solving -18 + 8n = 13 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -18 + 8n + 5n = 13 + -5n + 5n Combine like terms: 8n + 5n = 13n -18 + 13n = 13 + -5n + 5n Combine like terms: -5n + 5n = 0 -18 + 13n = 13 + 0 -18 + 13n = 13 Add '18' to each side of the equation. -18 + 18 + 13n = 13 + 18 Combine like terms: -18 + 18 = 0 0 + 13n = 13 + 18 13n = 13 + 18 Combine like terms: 13 + 18 = 31 13n = 31 Divide each side by '13'. n = 2.384615385 Simplifying n = 2.384615385
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