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Simplifying -20v + -13v + -20 = 19v + -8(8v + -20) Reorder the terms: -20 + -20v + -13v = 19v + -8(8v + -20) Combine like terms: -20v + -13v = -33v -20 + -33v = 19v + -8(8v + -20) Reorder the terms: -20 + -33v = 19v + -8(-20 + 8v) -20 + -33v = 19v + (-20 * -8 + 8v * -8) -20 + -33v = 19v + (160 + -64v) Reorder the terms: -20 + -33v = 160 + 19v + -64v Combine like terms: 19v + -64v = -45v -20 + -33v = 160 + -45v Solving -20 + -33v = 160 + -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. -20 + -33v + 45v = 160 + -45v + 45v Combine like terms: -33v + 45v = 12v -20 + 12v = 160 + -45v + 45v Combine like terms: -45v + 45v = 0 -20 + 12v = 160 + 0 -20 + 12v = 160 Add '20' to each side of the equation. -20 + 20 + 12v = 160 + 20 Combine like terms: -20 + 20 = 0 0 + 12v = 160 + 20 12v = 160 + 20 Combine like terms: 160 + 20 = 180 12v = 180 Divide each side by '12'. v = 15 Simplifying v = 15
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