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Simplifying 2(v + -2) = 5v + 5 + -3(-5v + -2) Reorder the terms: 2(-2 + v) = 5v + 5 + -3(-5v + -2) (-2 * 2 + v * 2) = 5v + 5 + -3(-5v + -2) (-4 + 2v) = 5v + 5 + -3(-5v + -2) Reorder the terms: -4 + 2v = 5v + 5 + -3(-2 + -5v) -4 + 2v = 5v + 5 + (-2 * -3 + -5v * -3) -4 + 2v = 5v + 5 + (6 + 15v) Reorder the terms: -4 + 2v = 5 + 6 + 5v + 15v Combine like terms: 5 + 6 = 11 -4 + 2v = 11 + 5v + 15v Combine like terms: 5v + 15v = 20v -4 + 2v = 11 + 20v Solving -4 + 2v = 11 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -4 + 2v + -20v = 11 + 20v + -20v Combine like terms: 2v + -20v = -18v -4 + -18v = 11 + 20v + -20v Combine like terms: 20v + -20v = 0 -4 + -18v = 11 + 0 -4 + -18v = 11 Add '4' to each side of the equation. -4 + 4 + -18v = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -18v = 11 + 4 -18v = 11 + 4 Combine like terms: 11 + 4 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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