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Simplifying -8 + -1n = -3(n + -4) Reorder the terms: -8 + -1n = -3(-4 + n) -8 + -1n = (-4 * -3 + n * -3) -8 + -1n = (12 + -3n) Solving -8 + -1n = 12 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -8 + -1n + 3n = 12 + -3n + 3n Combine like terms: -1n + 3n = 2n -8 + 2n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 -8 + 2n = 12 + 0 -8 + 2n = 12 Add '8' to each side of the equation. -8 + 8 + 2n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 12 + 8 2n = 12 + 8 Combine like terms: 12 + 8 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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