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Simplifying 3(v + 3) = -4(5v + -6) + 5v Reorder the terms: 3(3 + v) = -4(5v + -6) + 5v (3 * 3 + v * 3) = -4(5v + -6) + 5v (9 + 3v) = -4(5v + -6) + 5v Reorder the terms: 9 + 3v = -4(-6 + 5v) + 5v 9 + 3v = (-6 * -4 + 5v * -4) + 5v 9 + 3v = (24 + -20v) + 5v Combine like terms: -20v + 5v = -15v 9 + 3v = 24 + -15v Solving 9 + 3v = 24 + -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. 9 + 3v + 15v = 24 + -15v + 15v Combine like terms: 3v + 15v = 18v 9 + 18v = 24 + -15v + 15v Combine like terms: -15v + 15v = 0 9 + 18v = 24 + 0 9 + 18v = 24 Add '-9' to each side of the equation. 9 + -9 + 18v = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 18v = 24 + -9 18v = 24 + -9 Combine like terms: 24 + -9 = 15 18v = 15 Divide each side by '18'. v = 0.8333333333 Simplifying v = 0.8333333333
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