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Simplifying -1(3n + -8) + 2 = -5(n + -3) + -1(5 + -4n) Reorder the terms: -1(-8 + 3n) + 2 = -5(n + -3) + -1(5 + -4n) (-8 * -1 + 3n * -1) + 2 = -5(n + -3) + -1(5 + -4n) (8 + -3n) + 2 = -5(n + -3) + -1(5 + -4n) Reorder the terms: 8 + 2 + -3n = -5(n + -3) + -1(5 + -4n) Combine like terms: 8 + 2 = 10 10 + -3n = -5(n + -3) + -1(5 + -4n) Reorder the terms: 10 + -3n = -5(-3 + n) + -1(5 + -4n) 10 + -3n = (-3 * -5 + n * -5) + -1(5 + -4n) 10 + -3n = (15 + -5n) + -1(5 + -4n) 10 + -3n = 15 + -5n + (5 * -1 + -4n * -1) 10 + -3n = 15 + -5n + (-5 + 4n) Reorder the terms: 10 + -3n = 15 + -5 + -5n + 4n Combine like terms: 15 + -5 = 10 10 + -3n = 10 + -5n + 4n Combine like terms: -5n + 4n = -1n 10 + -3n = 10 + -1n Add '-10' to each side of the equation. 10 + -10 + -3n = 10 + -10 + -1n Combine like terms: 10 + -10 = 0 0 + -3n = 10 + -10 + -1n -3n = 10 + -10 + -1n Combine like terms: 10 + -10 = 0 -3n = 0 + -1n -3n = -1n Solving -3n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -3n + n = -1n + n Combine like terms: -3n + n = -2n -2n = -1n + n Combine like terms: -1n + n = 0 -2n = 0 Divide each side by '-2'. n = 0 Simplifying n = 0
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