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Simplifying 8 + 2n + -1 = 8n + 31 + -2n Reorder the terms: 8 + -1 + 2n = 8n + 31 + -2n Combine like terms: 8 + -1 = 7 7 + 2n = 8n + 31 + -2n Reorder the terms: 7 + 2n = 31 + 8n + -2n Combine like terms: 8n + -2n = 6n 7 + 2n = 31 + 6n Solving 7 + 2n = 31 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 7 + 2n + -6n = 31 + 6n + -6n Combine like terms: 2n + -6n = -4n 7 + -4n = 31 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + -4n = 31 + 0 7 + -4n = 31 Add '-7' to each side of the equation. 7 + -7 + -4n = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = 31 + -7 -4n = 31 + -7 Combine like terms: 31 + -7 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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