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Simplifying -4(v + 3) + -5(2 + -2v) = 2 Reorder the terms: -4(3 + v) + -5(2 + -2v) = 2 (3 * -4 + v * -4) + -5(2 + -2v) = 2 (-12 + -4v) + -5(2 + -2v) = 2 -12 + -4v + (2 * -5 + -2v * -5) = 2 -12 + -4v + (-10 + 10v) = 2 Reorder the terms: -12 + -10 + -4v + 10v = 2 Combine like terms: -12 + -10 = -22 -22 + -4v + 10v = 2 Combine like terms: -4v + 10v = 6v -22 + 6v = 2 Solving -22 + 6v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6v = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 6v = 2 + 22 6v = 2 + 22 Combine like terms: 2 + 22 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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