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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) Reorder the terms: -8 = 12 + 2n + -6n Combine like terms: 2n + -6n = -4n -8 = 12 + -4n Solving -8 = 12 + -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. -8 + 4n = 12 + -4n + 4n Combine like terms: -4n + 4n = 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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