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Simplifying 10 = 2(v + -5) + -6v Reorder the terms: 10 = 2(-5 + v) + -6v 10 = (-5 * 2 + v * 2) + -6v 10 = (-10 + 2v) + -6v Combine like terms: 2v + -6v = -4v 10 = -10 + -4v Solving 10 = -10 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 10 + 4v = -10 + -4v + 4v Combine like terms: -4v + 4v = 0 10 + 4v = -10 + 0 10 + 4v = -10 Add '-10' to each side of the equation. 10 + -10 + 4v = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4v = -10 + -10 4v = -10 + -10 Combine like terms: -10 + -10 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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