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Simplifying 3(n + -4) + 2(4n + -5) = 5(n + 2) + 26 Reorder the terms: 3(-4 + n) + 2(4n + -5) = 5(n + 2) + 26 (-4 * 3 + n * 3) + 2(4n + -5) = 5(n + 2) + 26 (-12 + 3n) + 2(4n + -5) = 5(n + 2) + 26 Reorder the terms: -12 + 3n + 2(-5 + 4n) = 5(n + 2) + 26 -12 + 3n + (-5 * 2 + 4n * 2) = 5(n + 2) + 26 -12 + 3n + (-10 + 8n) = 5(n + 2) + 26 Reorder the terms: -12 + -10 + 3n + 8n = 5(n + 2) + 26 Combine like terms: -12 + -10 = -22 -22 + 3n + 8n = 5(n + 2) + 26 Combine like terms: 3n + 8n = 11n -22 + 11n = 5(n + 2) + 26 Reorder the terms: -22 + 11n = 5(2 + n) + 26 -22 + 11n = (2 * 5 + n * 5) + 26 -22 + 11n = (10 + 5n) + 26 Reorder the terms: -22 + 11n = 10 + 26 + 5n Combine like terms: 10 + 26 = 36 -22 + 11n = 36 + 5n Solving -22 + 11n = 36 + 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. -22 + 11n + -5n = 36 + 5n + -5n Combine like terms: 11n + -5n = 6n -22 + 6n = 36 + 5n + -5n Combine like terms: 5n + -5n = 0 -22 + 6n = 36 + 0 -22 + 6n = 36 Add '22' to each side of the equation. -22 + 22 + 6n = 36 + 22 Combine like terms: -22 + 22 = 0 0 + 6n = 36 + 22 6n = 36 + 22 Combine like terms: 36 + 22 = 58 6n = 58 Divide each side by '6'. n = 9.666666667 Simplifying n = 9.666666667
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