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