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Simplifying -5(2v + 2) + 6(v + -6) = -22 Reorder the terms: -5(2 + 2v) + 6(v + -6) = -22 (2 * -5 + 2v * -5) + 6(v + -6) = -22 (-10 + -10v) + 6(v + -6) = -22 Reorder the terms: -10 + -10v + 6(-6 + v) = -22 -10 + -10v + (-6 * 6 + v * 6) = -22 -10 + -10v + (-36 + 6v) = -22 Reorder the terms: -10 + -36 + -10v + 6v = -22 Combine like terms: -10 + -36 = -46 -46 + -10v + 6v = -22 Combine like terms: -10v + 6v = -4v -46 + -4v = -22 Solving -46 + -4v = -22 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -4v = -22 + 46 Combine like terms: -46 + 46 = 0 0 + -4v = -22 + 46 -4v = -22 + 46 Combine like terms: -22 + 46 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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