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