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Simplifying 8(n + -3) + 17 = -5n + -9 Reorder the terms: 8(-3 + n) + 17 = -5n + -9 (-3 * 8 + n * 8) + 17 = -5n + -9 (-24 + 8n) + 17 = -5n + -9 Reorder the terms: -24 + 17 + 8n = -5n + -9 Combine like terms: -24 + 17 = -7 -7 + 8n = -5n + -9 Reorder the terms: -7 + 8n = -9 + -5n Solving -7 + 8n = -9 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -7 + 8n + 5n = -9 + -5n + 5n Combine like terms: 8n + 5n = 13n -7 + 13n = -9 + -5n + 5n Combine like terms: -5n + 5n = 0 -7 + 13n = -9 + 0 -7 + 13n = -9 Add '7' to each side of the equation. -7 + 7 + 13n = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 13n = -9 + 7 13n = -9 + 7 Combine like terms: -9 + 7 = -2 13n = -2 Divide each side by '13'. n = -0.1538461538 Simplifying n = -0.1538461538
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