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Simplifying 32 + 2v = 4(1 + 2v) + v 32 + 2v = (1 * 4 + 2v * 4) + v 32 + 2v = (4 + 8v) + v Combine like terms: 8v + v = 9v 32 + 2v = 4 + 9v Solving 32 + 2v = 4 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 32 + 2v + -9v = 4 + 9v + -9v Combine like terms: 2v + -9v = -7v 32 + -7v = 4 + 9v + -9v Combine like terms: 9v + -9v = 0 32 + -7v = 4 + 0 32 + -7v = 4 Add '-32' to each side of the equation. 32 + -32 + -7v = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -7v = 4 + -32 -7v = 4 + -32 Combine like terms: 4 + -32 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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