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Simplifying -2n + 4(8 + -8n) = -172 -2n + (8 * 4 + -8n * 4) = -172 -2n + (32 + -32n) = -172 Reorder the terms: 32 + -2n + -32n = -172 Combine like terms: -2n + -32n = -34n 32 + -34n = -172 Solving 32 + -34n = -172 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -34n = -172 + -32 Combine like terms: 32 + -32 = 0 0 + -34n = -172 + -32 -34n = -172 + -32 Combine like terms: -172 + -32 = -204 -34n = -204 Divide each side by '-34'. n = 6 Simplifying n = 6
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