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Simplifying 4 + 3n + -8n = -3n + -8 + n + 6 Combine like terms: 3n + -8n = -5n 4 + -5n = -3n + -8 + n + 6 Reorder the terms: 4 + -5n = -8 + 6 + -3n + n Combine like terms: -8 + 6 = -2 4 + -5n = -2 + -3n + n Combine like terms: -3n + n = -2n 4 + -5n = -2 + -2n Solving 4 + -5n = -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. 4 + -5n + 2n = -2 + -2n + 2n Combine like terms: -5n + 2n = -3n 4 + -3n = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + -3n = -2 + 0 4 + -3n = -2 Add '-4' to each side of the equation. 4 + -4 + -3n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = -2 + -4 -3n = -2 + -4 Combine like terms: -2 + -4 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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