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Simplifying -5(-3v + 2) + -1v = 6(v + -2) + -2 Reorder the terms: -5(2 + -3v) + -1v = 6(v + -2) + -2 (2 * -5 + -3v * -5) + -1v = 6(v + -2) + -2 (-10 + 15v) + -1v = 6(v + -2) + -2 Combine like terms: 15v + -1v = 14v -10 + 14v = 6(v + -2) + -2 Reorder the terms: -10 + 14v = 6(-2 + v) + -2 -10 + 14v = (-2 * 6 + v * 6) + -2 -10 + 14v = (-12 + 6v) + -2 Reorder the terms: -10 + 14v = -12 + -2 + 6v Combine like terms: -12 + -2 = -14 -10 + 14v = -14 + 6v Solving -10 + 14v = -14 + 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. -10 + 14v + -6v = -14 + 6v + -6v Combine like terms: 14v + -6v = 8v -10 + 8v = -14 + 6v + -6v Combine like terms: 6v + -6v = 0 -10 + 8v = -14 + 0 -10 + 8v = -14 Add '10' to each side of the equation. -10 + 10 + 8v = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 8v = -14 + 10 8v = -14 + 10 Combine like terms: -14 + 10 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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