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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 = -18 2v = -18 Divide each side by '2'. v = -9 Simplifying v = -9
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