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Simplifying -2(3n + -4) = -5(n + -4) Reorder the terms: -2(-4 + 3n) = -5(n + -4) (-4 * -2 + 3n * -2) = -5(n + -4) (8 + -6n) = -5(n + -4) Reorder the terms: 8 + -6n = -5(-4 + n) 8 + -6n = (-4 * -5 + n * -5) 8 + -6n = (20 + -5n) Solving 8 + -6n = 20 + -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. 8 + -6n + 5n = 20 + -5n + 5n Combine like terms: -6n + 5n = -1n 8 + -1n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + -1n = 20 + 0 8 + -1n = 20 Add '-8' to each side of the equation. 8 + -8 + -1n = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 20 + -8 -1n = 20 + -8 Combine like terms: 20 + -8 = 12 -1n = 12 Divide each side by '-1'. n = -12 Simplifying n = -12
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