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Simplifying -4(v + -2) = 2(-2 + 7) Reorder the terms: -4(-2 + v) = 2(-2 + 7) (-2 * -4 + v * -4) = 2(-2 + 7) (8 + -4v) = 2(-2 + 7) Combine like terms: -2 + 7 = 5 8 + -4v = 2(5) Multiply 2 * 5 8 + -4v = 10 Solving 8 + -4v = 10 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4v = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = 10 + -8 -4v = 10 + -8 Combine like terms: 10 + -8 = 2 -4v = 2 Divide each side by '-4'. v = -0.5 Simplifying v = -0.5
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