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Simplifying -8(n + 2) + 17 = 6n + -5 Reorder the terms: -8(2 + n) + 17 = 6n + -5 (2 * -8 + n * -8) + 17 = 6n + -5 (-16 + -8n) + 17 = 6n + -5 Reorder the terms: -16 + 17 + -8n = 6n + -5 Combine like terms: -16 + 17 = 1 1 + -8n = 6n + -5 Reorder the terms: 1 + -8n = -5 + 6n Solving 1 + -8n = -5 + 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. 1 + -8n + -6n = -5 + 6n + -6n Combine like terms: -8n + -6n = -14n 1 + -14n = -5 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + -14n = -5 + 0 1 + -14n = -5 Add '-1' to each side of the equation. 1 + -1 + -14n = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -14n = -5 + -1 -14n = -5 + -1 Combine like terms: -5 + -1 = -6 -14n = -6 Divide each side by '-14'. n = 0.4285714286 Simplifying n = 0.4285714286
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