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Simplifying -3(-7v + 3) + -5v = 6(v + -1) + -8 Reorder the terms: -3(3 + -7v) + -5v = 6(v + -1) + -8 (3 * -3 + -7v * -3) + -5v = 6(v + -1) + -8 (-9 + 21v) + -5v = 6(v + -1) + -8 Combine like terms: 21v + -5v = 16v -9 + 16v = 6(v + -1) + -8 Reorder the terms: -9 + 16v = 6(-1 + v) + -8 -9 + 16v = (-1 * 6 + v * 6) + -8 -9 + 16v = (-6 + 6v) + -8 Reorder the terms: -9 + 16v = -6 + -8 + 6v Combine like terms: -6 + -8 = -14 -9 + 16v = -14 + 6v Solving -9 + 16v = -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. -9 + 16v + -6v = -14 + 6v + -6v Combine like terms: 16v + -6v = 10v -9 + 10v = -14 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + 10v = -14 + 0 -9 + 10v = -14 Add '9' to each side of the equation. -9 + 9 + 10v = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 10v = -14 + 9 10v = -14 + 9 Combine like terms: -14 + 9 = -5 10v = -5 Divide each side by '10'. v = -0.5 Simplifying v = -0.5
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