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Simplifying 8(4 + v) + 31v = 15v (4 * 8 + v * 8) + 31v = 15v (32 + 8v) + 31v = 15v Combine like terms: 8v + 31v = 39v 32 + 39v = 15v Solving 32 + 39v = 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. 32 + 39v + -15v = 15v + -15v Combine like terms: 39v + -15v = 24v 32 + 24v = 15v + -15v Combine like terms: 15v + -15v = 0 32 + 24v = 0 Add '-32' to each side of the equation. 32 + -32 + 24v = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 24v = 0 + -32 24v = 0 + -32 Combine like terms: 0 + -32 = -32 24v = -32 Divide each side by '24'. v = -1.333333333 Simplifying v = -1.333333333
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