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Simplifying 5v + 8(5v + 4) = -15 + -2v Reorder the terms: 5v + 8(4 + 5v) = -15 + -2v 5v + (4 * 8 + 5v * 8) = -15 + -2v 5v + (32 + 40v) = -15 + -2v Reorder the terms: 32 + 5v + 40v = -15 + -2v Combine like terms: 5v + 40v = 45v 32 + 45v = -15 + -2v Solving 32 + 45v = -15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 32 + 45v + 2v = -15 + -2v + 2v Combine like terms: 45v + 2v = 47v 32 + 47v = -15 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + 47v = -15 + 0 32 + 47v = -15 Add '-32' to each side of the equation. 32 + -32 + 47v = -15 + -32 Combine like terms: 32 + -32 = 0 0 + 47v = -15 + -32 47v = -15 + -32 Combine like terms: -15 + -32 = -47 47v = -47 Divide each side by '47'. v = -1 Simplifying v = -1
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