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Simplifying 3(-10v + 20) = -5(3 + 9v) Reorder the terms: 3(20 + -10v) = -5(3 + 9v) (20 * 3 + -10v * 3) = -5(3 + 9v) (60 + -30v) = -5(3 + 9v) 60 + -30v = (3 * -5 + 9v * -5) 60 + -30v = (-15 + -45v) Solving 60 + -30v = -15 + -45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '45v' to each side of the equation. 60 + -30v + 45v = -15 + -45v + 45v Combine like terms: -30v + 45v = 15v 60 + 15v = -15 + -45v + 45v Combine like terms: -45v + 45v = 0 60 + 15v = -15 + 0 60 + 15v = -15 Add '-60' to each side of the equation. 60 + -60 + 15v = -15 + -60 Combine like terms: 60 + -60 = 0 0 + 15v = -15 + -60 15v = -15 + -60 Combine like terms: -15 + -60 = -75 15v = -75 Divide each side by '15'. v = -5 Simplifying v = -5
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