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Simplifying 3v + -20 = -8(v + -3) Reorder the terms: -20 + 3v = -8(v + -3) Reorder the terms: -20 + 3v = -8(-3 + v) -20 + 3v = (-3 * -8 + v * -8) -20 + 3v = (24 + -8v) Solving -20 + 3v = 24 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -20 + 3v + 8v = 24 + -8v + 8v Combine like terms: 3v + 8v = 11v -20 + 11v = 24 + -8v + 8v Combine like terms: -8v + 8v = 0 -20 + 11v = 24 + 0 -20 + 11v = 24 Add '20' to each side of the equation. -20 + 20 + 11v = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 11v = 24 + 20 11v = 24 + 20 Combine like terms: 24 + 20 = 44 11v = 44 Divide each side by '11'. v = 4 Simplifying v = 4
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