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