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Simplifying -1(12 + 12v) = -4(11 + 7v) (12 * -1 + 12v * -1) = -4(11 + 7v) (-12 + -12v) = -4(11 + 7v) -12 + -12v = (11 * -4 + 7v * -4) -12 + -12v = (-44 + -28v) Solving -12 + -12v = -44 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -12 + -12v + 28v = -44 + -28v + 28v Combine like terms: -12v + 28v = 16v -12 + 16v = -44 + -28v + 28v Combine like terms: -28v + 28v = 0 -12 + 16v = -44 + 0 -12 + 16v = -44 Add '12' to each side of the equation. -12 + 12 + 16v = -44 + 12 Combine like terms: -12 + 12 = 0 0 + 16v = -44 + 12 16v = -44 + 12 Combine like terms: -44 + 12 = -32 16v = -32 Divide each side by '16'. v = -2 Simplifying v = -2
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