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Simplifying -6v + -4(3 + -7v) = -8 + 3(7v + -2) -6v + (3 * -4 + -7v * -4) = -8 + 3(7v + -2) -6v + (-12 + 28v) = -8 + 3(7v + -2) Reorder the terms: -12 + -6v + 28v = -8 + 3(7v + -2) Combine like terms: -6v + 28v = 22v -12 + 22v = -8 + 3(7v + -2) Reorder the terms: -12 + 22v = -8 + 3(-2 + 7v) -12 + 22v = -8 + (-2 * 3 + 7v * 3) -12 + 22v = -8 + (-6 + 21v) Combine like terms: -8 + -6 = -14 -12 + 22v = -14 + 21v Solving -12 + 22v = -14 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -12 + 22v + -21v = -14 + 21v + -21v Combine like terms: 22v + -21v = 1v -12 + 1v = -14 + 21v + -21v Combine like terms: 21v + -21v = 0 -12 + 1v = -14 + 0 -12 + 1v = -14 Add '12' to each side of the equation. -12 + 12 + 1v = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 1v = -14 + 12 1v = -14 + 12 Combine like terms: -14 + 12 = -2 1v = -2 Divide each side by '1'. v = -2 Simplifying v = -2
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