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Simplifying -32 + 4v = -5(3v + -2) Reorder the terms: -32 + 4v = -5(-2 + 3v) -32 + 4v = (-2 * -5 + 3v * -5) -32 + 4v = (10 + -15v) Solving -32 + 4v = 10 + -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 + 4v + 15v = 10 + -15v + 15v Combine like terms: 4v + 15v = 19v -32 + 19v = 10 + -15v + 15v Combine like terms: -15v + 15v = 0 -32 + 19v = 10 + 0 -32 + 19v = 10 Add '32' to each side of the equation. -32 + 32 + 19v = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 19v = 10 + 32 19v = 10 + 32 Combine like terms: 10 + 32 = 42 19v = 42 Divide each side by '19'. v = 2.210526316 Simplifying v = 2.210526316
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