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Simplifying 8 = -2 + 8n + -6n Combine like terms: 8n + -6n = 2n 8 = -2 + 2n Solving 8 = -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. 8 + -2n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -2n = -2 + 0 8 + -2n = -2 Add '-8' to each side of the equation. 8 + -8 + -2n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -2 + -8 -2n = -2 + -8 Combine like terms: -2 + -8 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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