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Simplifying 9 + 15n + -8 = 8n + 27 + -6n Reorder the terms: 9 + -8 + 15n = 8n + 27 + -6n Combine like terms: 9 + -8 = 1 1 + 15n = 8n + 27 + -6n Reorder the terms: 1 + 15n = 27 + 8n + -6n Combine like terms: 8n + -6n = 2n 1 + 15n = 27 + 2n Solving 1 + 15n = 27 + 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. 1 + 15n + -2n = 27 + 2n + -2n Combine like terms: 15n + -2n = 13n 1 + 13n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 13n = 27 + 0 1 + 13n = 27 Add '-1' to each side of the equation. 1 + -1 + 13n = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 13n = 27 + -1 13n = 27 + -1 Combine like terms: 27 + -1 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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