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Simplifying -172 = 4(5 + -8n) -172 = (5 * 4 + -8n * 4) -172 = (20 + -32n) Solving -172 = 20 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -172 + 32n = 20 + -32n + 32n Combine like terms: -32n + 32n = 0 -172 + 32n = 20 + 0 -172 + 32n = 20 Add '172' to each side of the equation. -172 + 172 + 32n = 20 + 172 Combine like terms: -172 + 172 = 0 0 + 32n = 20 + 172 32n = 20 + 172 Combine like terms: 20 + 172 = 192 32n = 192 Divide each side by '32'. n = 6 Simplifying n = 6
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