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Simplifying 20 + 8v = -6(8 + -7v) 20 + 8v = (8 * -6 + -7v * -6) 20 + 8v = (-48 + 42v) Solving 20 + 8v = -48 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 20 + 8v + -42v = -48 + 42v + -42v Combine like terms: 8v + -42v = -34v 20 + -34v = -48 + 42v + -42v Combine like terms: 42v + -42v = 0 20 + -34v = -48 + 0 20 + -34v = -48 Add '-20' to each side of the equation. 20 + -20 + -34v = -48 + -20 Combine like terms: 20 + -20 = 0 0 + -34v = -48 + -20 -34v = -48 + -20 Combine like terms: -48 + -20 = -68 -34v = -68 Divide each side by '-34'. v = 2 Simplifying v = 2
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