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Simplifying 5v + -1 + 2(5v + 2) = -3(v + 2) Reorder the terms: 5v + -1 + 2(2 + 5v) = -3(v + 2) 5v + -1 + (2 * 2 + 5v * 2) = -3(v + 2) 5v + -1 + (4 + 10v) = -3(v + 2) Reorder the terms: -1 + 4 + 5v + 10v = -3(v + 2) Combine like terms: -1 + 4 = 3 3 + 5v + 10v = -3(v + 2) Combine like terms: 5v + 10v = 15v 3 + 15v = -3(v + 2) Reorder the terms: 3 + 15v = -3(2 + v) 3 + 15v = (2 * -3 + v * -3) 3 + 15v = (-6 + -3v) Solving 3 + 15v = -6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 3 + 15v + 3v = -6 + -3v + 3v Combine like terms: 15v + 3v = 18v 3 + 18v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 3 + 18v = -6 + 0 3 + 18v = -6 Add '-3' to each side of the equation. 3 + -3 + 18v = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 18v = -6 + -3 18v = -6 + -3 Combine like terms: -6 + -3 = -9 18v = -9 Divide each side by '18'. v = -0.5 Simplifying v = -0.5
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