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Simplifying 4(v + -2) = 2 + -6v Reorder the terms: 4(-2 + v) = 2 + -6v (-2 * 4 + v * 4) = 2 + -6v (-8 + 4v) = 2 + -6v Solving -8 + 4v = 2 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -8 + 4v + 6v = 2 + -6v + 6v Combine like terms: 4v + 6v = 10v -8 + 10v = 2 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + 10v = 2 + 0 -8 + 10v = 2 Add '8' to each side of the equation. -8 + 8 + 10v = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 10v = 2 + 8 10v = 2 + 8 Combine like terms: 2 + 8 = 10 10v = 10 Divide each side by '10'. v = 1 Simplifying v = 1
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