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Simplifying 4v + 4(v + 10) = 2v + -20 Reorder the terms: 4v + 4(10 + v) = 2v + -20 4v + (10 * 4 + v * 4) = 2v + -20 4v + (40 + 4v) = 2v + -20 Reorder the terms: 40 + 4v + 4v = 2v + -20 Combine like terms: 4v + 4v = 8v 40 + 8v = 2v + -20 Reorder the terms: 40 + 8v = -20 + 2v Solving 40 + 8v = -20 + 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. 40 + 8v + -2v = -20 + 2v + -2v Combine like terms: 8v + -2v = 6v 40 + 6v = -20 + 2v + -2v Combine like terms: 2v + -2v = 0 40 + 6v = -20 + 0 40 + 6v = -20 Add '-40' to each side of the equation. 40 + -40 + 6v = -20 + -40 Combine like terms: 40 + -40 = 0 0 + 6v = -20 + -40 6v = -20 + -40 Combine like terms: -20 + -40 = -60 6v = -60 Divide each side by '6'. v = -10 Simplifying v = -10
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