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Simplifying n + -2 = -5n + 2n + -6 Reorder the terms: -2 + n = -5n + 2n + -6 Reorder the terms: -2 + n = -6 + -5n + 2n Combine like terms: -5n + 2n = -3n -2 + n = -6 + -3n Solving -2 + n = -6 + -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. -2 + n + 3n = -6 + -3n + 3n Combine like terms: n + 3n = 4n -2 + 4n = -6 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + 4n = -6 + 0 -2 + 4n = -6 Add '2' to each side of the equation. -2 + 2 + 4n = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4n = -6 + 2 4n = -6 + 2 Combine like terms: -6 + 2 = -4 4n = -4 Divide each side by '4'. n = -1 Simplifying n = -1
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