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Simplifying -2(3v + 4) + -2(-4v + 4) = -22 Reorder the terms: -2(4 + 3v) + -2(-4v + 4) = -22 (4 * -2 + 3v * -2) + -2(-4v + 4) = -22 (-8 + -6v) + -2(-4v + 4) = -22 Reorder the terms: -8 + -6v + -2(4 + -4v) = -22 -8 + -6v + (4 * -2 + -4v * -2) = -22 -8 + -6v + (-8 + 8v) = -22 Reorder the terms: -8 + -8 + -6v + 8v = -22 Combine like terms: -8 + -8 = -16 -16 + -6v + 8v = -22 Combine like terms: -6v + 8v = 2v -16 + 2v = -22 Solving -16 + 2v = -22 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2v = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 2v = -22 + 16 2v = -22 + 16 Combine like terms: -22 + 16 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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