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Simplifying 12n + -3 = 77(n + -4) + 5n Reorder the terms: -3 + 12n = 77(n + -4) + 5n Reorder the terms: -3 + 12n = 77(-4 + n) + 5n -3 + 12n = (-4 * 77 + n * 77) + 5n -3 + 12n = (-308 + 77n) + 5n Combine like terms: 77n + 5n = 82n -3 + 12n = -308 + 82n Solving -3 + 12n = -308 + 82n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-82n' to each side of the equation. -3 + 12n + -82n = -308 + 82n + -82n Combine like terms: 12n + -82n = -70n -3 + -70n = -308 + 82n + -82n Combine like terms: 82n + -82n = 0 -3 + -70n = -308 + 0 -3 + -70n = -308 Add '3' to each side of the equation. -3 + 3 + -70n = -308 + 3 Combine like terms: -3 + 3 = 0 0 + -70n = -308 + 3 -70n = -308 + 3 Combine like terms: -308 + 3 = -305 -70n = -305 Divide each side by '-70'. n = 4.357142857 Simplifying n = 4.357142857
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