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Simplifying 2v + -5 + 3(2v + 1) = -6(v + 2) Reorder the terms: 2v + -5 + 3(1 + 2v) = -6(v + 2) 2v + -5 + (1 * 3 + 2v * 3) = -6(v + 2) 2v + -5 + (3 + 6v) = -6(v + 2) Reorder the terms: -5 + 3 + 2v + 6v = -6(v + 2) Combine like terms: -5 + 3 = -2 -2 + 2v + 6v = -6(v + 2) Combine like terms: 2v + 6v = 8v -2 + 8v = -6(v + 2) Reorder the terms: -2 + 8v = -6(2 + v) -2 + 8v = (2 * -6 + v * -6) -2 + 8v = (-12 + -6v) Solving -2 + 8v = -12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -2 + 8v + 6v = -12 + -6v + 6v Combine like terms: 8v + 6v = 14v -2 + 14v = -12 + -6v + 6v Combine like terms: -6v + 6v = 0 -2 + 14v = -12 + 0 -2 + 14v = -12 Add '2' to each side of the equation. -2 + 2 + 14v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 14v = -12 + 2 14v = -12 + 2 Combine like terms: -12 + 2 = -10 14v = -10 Divide each side by '14'. v = -0.7142857143 Simplifying v = -0.7142857143
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