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Simplifying 3(-5v + 3) + -5v = 9 + -1v Reorder the terms: 3(3 + -5v) + -5v = 9 + -1v (3 * 3 + -5v * 3) + -5v = 9 + -1v (9 + -15v) + -5v = 9 + -1v Combine like terms: -15v + -5v = -20v 9 + -20v = 9 + -1v Add '-9' to each side of the equation. 9 + -9 + -20v = 9 + -9 + -1v Combine like terms: 9 + -9 = 0 0 + -20v = 9 + -9 + -1v -20v = 9 + -9 + -1v Combine like terms: 9 + -9 = 0 -20v = 0 + -1v -20v = -1v Solving -20v = -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -20v + v = -1v + v Combine like terms: -20v + v = -19v -19v = -1v + v Combine like terms: -1v + v = 0 -19v = 0 Divide each side by '-19'. v = 0 Simplifying v = 0
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