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Simplifying -2(3n + -1) + 3(n + 5) = 4(n + -4) Reorder the terms: -2(-1 + 3n) + 3(n + 5) = 4(n + -4) (-1 * -2 + 3n * -2) + 3(n + 5) = 4(n + -4) (2 + -6n) + 3(n + 5) = 4(n + -4) Reorder the terms: 2 + -6n + 3(5 + n) = 4(n + -4) 2 + -6n + (5 * 3 + n * 3) = 4(n + -4) 2 + -6n + (15 + 3n) = 4(n + -4) Reorder the terms: 2 + 15 + -6n + 3n = 4(n + -4) Combine like terms: 2 + 15 = 17 17 + -6n + 3n = 4(n + -4) Combine like terms: -6n + 3n = -3n 17 + -3n = 4(n + -4) Reorder the terms: 17 + -3n = 4(-4 + n) 17 + -3n = (-4 * 4 + n * 4) 17 + -3n = (-16 + 4n) Solving 17 + -3n = -16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 17 + -3n + -4n = -16 + 4n + -4n Combine like terms: -3n + -4n = -7n 17 + -7n = -16 + 4n + -4n Combine like terms: 4n + -4n = 0 17 + -7n = -16 + 0 17 + -7n = -16 Add '-17' to each side of the equation. 17 + -17 + -7n = -16 + -17 Combine like terms: 17 + -17 = 0 0 + -7n = -16 + -17 -7n = -16 + -17 Combine like terms: -16 + -17 = -33 -7n = -33 Divide each side by '-7'. n = 4.714285714 Simplifying n = 4.714285714
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