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Simplifying 5(4n + -5) = 4(7n + -5) + -29 Reorder the terms: 5(-5 + 4n) = 4(7n + -5) + -29 (-5 * 5 + 4n * 5) = 4(7n + -5) + -29 (-25 + 20n) = 4(7n + -5) + -29 Reorder the terms: -25 + 20n = 4(-5 + 7n) + -29 -25 + 20n = (-5 * 4 + 7n * 4) + -29 -25 + 20n = (-20 + 28n) + -29 Reorder the terms: -25 + 20n = -20 + -29 + 28n Combine like terms: -20 + -29 = -49 -25 + 20n = -49 + 28n Solving -25 + 20n = -49 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -25 + 20n + -28n = -49 + 28n + -28n Combine like terms: 20n + -28n = -8n -25 + -8n = -49 + 28n + -28n Combine like terms: 28n + -28n = 0 -25 + -8n = -49 + 0 -25 + -8n = -49 Add '25' to each side of the equation. -25 + 25 + -8n = -49 + 25 Combine like terms: -25 + 25 = 0 0 + -8n = -49 + 25 -8n = -49 + 25 Combine like terms: -49 + 25 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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