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Simplifying -20 + -5(11v + 20) = -2(20v + -15) Reorder the terms: -20 + -5(20 + 11v) = -2(20v + -15) -20 + (20 * -5 + 11v * -5) = -2(20v + -15) -20 + (-100 + -55v) = -2(20v + -15) Combine like terms: -20 + -100 = -120 -120 + -55v = -2(20v + -15) Reorder the terms: -120 + -55v = -2(-15 + 20v) -120 + -55v = (-15 * -2 + 20v * -2) -120 + -55v = (30 + -40v) Solving -120 + -55v = 30 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. -120 + -55v + 40v = 30 + -40v + 40v Combine like terms: -55v + 40v = -15v -120 + -15v = 30 + -40v + 40v Combine like terms: -40v + 40v = 0 -120 + -15v = 30 + 0 -120 + -15v = 30 Add '120' to each side of the equation. -120 + 120 + -15v = 30 + 120 Combine like terms: -120 + 120 = 0 0 + -15v = 30 + 120 -15v = 30 + 120 Combine like terms: 30 + 120 = 150 -15v = 150 Divide each side by '-15'. v = -10 Simplifying v = -10
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