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Simplifying 171 = 7 + 4(5 + 6v) 171 = 7 + (5 * 4 + 6v * 4) 171 = 7 + (20 + 24v) Combine like terms: 7 + 20 = 27 171 = 27 + 24v Solving 171 = 27 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. 171 + -24v = 27 + 24v + -24v Combine like terms: 24v + -24v = 0 171 + -24v = 27 + 0 171 + -24v = 27 Add '-171' to each side of the equation. 171 + -171 + -24v = 27 + -171 Combine like terms: 171 + -171 = 0 0 + -24v = 27 + -171 -24v = 27 + -171 Combine like terms: 27 + -171 = -144 -24v = -144 Divide each side by '-24'. v = 6 Simplifying v = 6
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