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Simplifying 24n + 4(n + -3) = 3 + 5(4n + -1) Reorder the terms: 24n + 4(-3 + n) = 3 + 5(4n + -1) 24n + (-3 * 4 + n * 4) = 3 + 5(4n + -1) 24n + (-12 + 4n) = 3 + 5(4n + -1) Reorder the terms: -12 + 24n + 4n = 3 + 5(4n + -1) Combine like terms: 24n + 4n = 28n -12 + 28n = 3 + 5(4n + -1) Reorder the terms: -12 + 28n = 3 + 5(-1 + 4n) -12 + 28n = 3 + (-1 * 5 + 4n * 5) -12 + 28n = 3 + (-5 + 20n) Combine like terms: 3 + -5 = -2 -12 + 28n = -2 + 20n Solving -12 + 28n = -2 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -12 + 28n + -20n = -2 + 20n + -20n Combine like terms: 28n + -20n = 8n -12 + 8n = -2 + 20n + -20n Combine like terms: 20n + -20n = 0 -12 + 8n = -2 + 0 -12 + 8n = -2 Add '12' to each side of the equation. -12 + 12 + 8n = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = -2 + 12 8n = -2 + 12 Combine like terms: -2 + 12 = 10 8n = 10 Divide each side by '8'. n = 1.25 Simplifying n = 1.25
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