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Simplifying 17 = 7v + 8(v + 4) Reorder the terms: 17 = 7v + 8(4 + v) 17 = 7v + (4 * 8 + v * 8) 17 = 7v + (32 + 8v) Reorder the terms: 17 = 32 + 7v + 8v Combine like terms: 7v + 8v = 15v 17 = 32 + 15v Solving 17 = 32 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 17 + -15v = 32 + 15v + -15v Combine like terms: 15v + -15v = 0 17 + -15v = 32 + 0 17 + -15v = 32 Add '-17' to each side of the equation. 17 + -17 + -15v = 32 + -17 Combine like terms: 17 + -17 = 0 0 + -15v = 32 + -17 -15v = 32 + -17 Combine like terms: 32 + -17 = 15 -15v = 15 Divide each side by '-15'. v = -1 Simplifying v = -1
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