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