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Simplifying 4(v + -1) + -8 = -2(-8v + 8) + -6v Reorder the terms: 4(-1 + v) + -8 = -2(-8v + 8) + -6v (-1 * 4 + v * 4) + -8 = -2(-8v + 8) + -6v (-4 + 4v) + -8 = -2(-8v + 8) + -6v Reorder the terms: -4 + -8 + 4v = -2(-8v + 8) + -6v Combine like terms: -4 + -8 = -12 -12 + 4v = -2(-8v + 8) + -6v Reorder the terms: -12 + 4v = -2(8 + -8v) + -6v -12 + 4v = (8 * -2 + -8v * -2) + -6v -12 + 4v = (-16 + 16v) + -6v Combine like terms: 16v + -6v = 10v -12 + 4v = -16 + 10v Solving -12 + 4v = -16 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -12 + 4v + -10v = -16 + 10v + -10v Combine like terms: 4v + -10v = -6v -12 + -6v = -16 + 10v + -10v Combine like terms: 10v + -10v = 0 -12 + -6v = -16 + 0 -12 + -6v = -16 Add '12' to each side of the equation. -12 + 12 + -6v = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -6v = -16 + 12 -6v = -16 + 12 Combine like terms: -16 + 12 = -4 -6v = -4 Divide each side by '-6'. v = 0.6666666667 Simplifying v = 0.6666666667
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