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Simplifying 4v + -2(v + 5) = -1(2v + 15) Reorder the terms: 4v + -2(5 + v) = -1(2v + 15) 4v + (5 * -2 + v * -2) = -1(2v + 15) 4v + (-10 + -2v) = -1(2v + 15) Reorder the terms: -10 + 4v + -2v = -1(2v + 15) Combine like terms: 4v + -2v = 2v -10 + 2v = -1(2v + 15) Reorder the terms: -10 + 2v = -1(15 + 2v) -10 + 2v = (15 * -1 + 2v * -1) -10 + 2v = (-15 + -2v) Solving -10 + 2v = -15 + -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 + 2v = -15 + -2v + 2v Combine like terms: 2v + 2v = 4v -10 + 4v = -15 + -2v + 2v Combine like terms: -2v + 2v = 0 -10 + 4v = -15 + 0 -10 + 4v = -15 Add '10' to each side of the equation. -10 + 10 + 4v = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 4v = -15 + 10 4v = -15 + 10 Combine like terms: -15 + 10 = -5 4v = -5 Divide each side by '4'. v = -1.25 Simplifying v = -1.25
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