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Simplifying 5(4 + -1v) = 3(-20 + -5v) (4 * 5 + -1v * 5) = 3(-20 + -5v) (20 + -5v) = 3(-20 + -5v) 20 + -5v = (-20 * 3 + -5v * 3) 20 + -5v = (-60 + -15v) Solving 20 + -5v = -60 + -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. 20 + -5v + 15v = -60 + -15v + 15v Combine like terms: -5v + 15v = 10v 20 + 10v = -60 + -15v + 15v Combine like terms: -15v + 15v = 0 20 + 10v = -60 + 0 20 + 10v = -60 Add '-20' to each side of the equation. 20 + -20 + 10v = -60 + -20 Combine like terms: 20 + -20 = 0 0 + 10v = -60 + -20 10v = -60 + -20 Combine like terms: -60 + -20 = -80 10v = -80 Divide each side by '10'. v = -8 Simplifying v = -8
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