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Simplifying -4 + 4(1 + -2v) = -7 + -1v -4 + (1 * 4 + -2v * 4) = -7 + -1v -4 + (4 + -8v) = -7 + -1v Combine like terms: -4 + 4 = 0 0 + -8v = -7 + -1v -8v = -7 + -1v Solving -8v = -7 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -8v + v = -7 + -1v + v Combine like terms: -8v + v = -7v -7v = -7 + -1v + v Combine like terms: -1v + v = 0 -7v = -7 + 0 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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