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Simplifying 1 + -2n + -5 = 8n + 8 + 7n + 5 Reorder the terms: 1 + -5 + -2n = 8n + 8 + 7n + 5 Combine like terms: 1 + -5 = -4 -4 + -2n = 8n + 8 + 7n + 5 Reorder the terms: -4 + -2n = 8 + 5 + 8n + 7n Combine like terms: 8 + 5 = 13 -4 + -2n = 13 + 8n + 7n Combine like terms: 8n + 7n = 15n -4 + -2n = 13 + 15n Solving -4 + -2n = 13 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -4 + -2n + -15n = 13 + 15n + -15n Combine like terms: -2n + -15n = -17n -4 + -17n = 13 + 15n + -15n Combine like terms: 15n + -15n = 0 -4 + -17n = 13 + 0 -4 + -17n = 13 Add '4' to each side of the equation. -4 + 4 + -17n = 13 + 4 Combine like terms: -4 + 4 = 0 0 + -17n = 13 + 4 -17n = 13 + 4 Combine like terms: 13 + 4 = 17 -17n = 17 Divide each side by '-17'. n = -1 Simplifying n = -1
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