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Simplifying 8n + 1 + -6 = 5 + 2n + -18 Reorder the terms: 1 + -6 + 8n = 5 + 2n + -18 Combine like terms: 1 + -6 = -5 -5 + 8n = 5 + 2n + -18 Reorder the terms: -5 + 8n = 5 + -18 + 2n Combine like terms: 5 + -18 = -13 -5 + 8n = -13 + 2n Solving -5 + 8n = -13 + 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. -5 + 8n + -2n = -13 + 2n + -2n Combine like terms: 8n + -2n = 6n -5 + 6n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + 6n = -13 + 0 -5 + 6n = -13 Add '5' to each side of the equation. -5 + 5 + 6n = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = -13 + 5 6n = -13 + 5 Combine like terms: -13 + 5 = -8 6n = -8 Divide each side by '6'. n = -1.333333333 Simplifying n = -1.333333333
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