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Simplifying -6 + -2n = n + 8 + -5n Reorder the terms: -6 + -2n = 8 + n + -5n Combine like terms: n + -5n = -4n -6 + -2n = 8 + -4n Solving -6 + -2n = 8 + -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 + -2n + 4n = 8 + -4n + 4n Combine like terms: -2n + 4n = 2n -6 + 2n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 -6 + 2n = 8 + 0 -6 + 2n = 8 Add '6' to each side of the equation. -6 + 6 + 2n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 8 + 6 2n = 8 + 6 Combine like terms: 8 + 6 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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