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Simplifying -2 = 2 + 5n + -3n Combine like terms: 5n + -3n = 2n -2 = 2 + 2n Solving -2 = 2 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -2 + -2n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + -2n = 2 + 0 -2 + -2n = 2 Add '2' to each side of the equation. -2 + 2 + -2n = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 2 + 2 -2n = 2 + 2 Combine like terms: 2 + 2 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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