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Simplifying -8n + -8(4n + -1) = -12n + 17 Reorder the terms: -8n + -8(-1 + 4n) = -12n + 17 -8n + (-1 * -8 + 4n * -8) = -12n + 17 -8n + (8 + -32n) = -12n + 17 Reorder the terms: 8 + -8n + -32n = -12n + 17 Combine like terms: -8n + -32n = -40n 8 + -40n = -12n + 17 Reorder the terms: 8 + -40n = 17 + -12n Solving 8 + -40n = 17 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 8 + -40n + 12n = 17 + -12n + 12n Combine like terms: -40n + 12n = -28n 8 + -28n = 17 + -12n + 12n Combine like terms: -12n + 12n = 0 8 + -28n = 17 + 0 8 + -28n = 17 Add '-8' to each side of the equation. 8 + -8 + -28n = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -28n = 17 + -8 -28n = 17 + -8 Combine like terms: 17 + -8 = 9 -28n = 9 Divide each side by '-28'. n = -0.3214285714 Simplifying n = -0.3214285714
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