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Simplifying -8 + 2n = -3(-2n + -4) Reorder the terms: -8 + 2n = -3(-4 + -2n) -8 + 2n = (-4 * -3 + -2n * -3) -8 + 2n = (12 + 6n) Solving -8 + 2n = 12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -8 + 2n + -6n = 12 + 6n + -6n Combine like terms: 2n + -6n = -4n -8 + -4n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + -4n = 12 + 0 -8 + -4n = 12 Add '8' to each side of the equation. -8 + 8 + -4n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -4n = 12 + 8 -4n = 12 + 8 Combine like terms: 12 + 8 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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