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Simplifying 172 = 4(8 + 7n) 172 = (8 * 4 + 7n * 4) 172 = (32 + 28n) Solving 172 = 32 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 172 + -28n = 32 + 28n + -28n Combine like terms: 28n + -28n = 0 172 + -28n = 32 + 0 172 + -28n = 32 Add '-172' to each side of the equation. 172 + -172 + -28n = 32 + -172 Combine like terms: 172 + -172 = 0 0 + -28n = 32 + -172 -28n = 32 + -172 Combine like terms: 32 + -172 = -140 -28n = -140 Divide each side by '-28'. n = 5 Simplifying n = 5
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