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Simplifying -4 + (v + -2) = -4(v + -8) + -8v Reorder the terms: -4 + (-2 + v) = -4(v + -8) + -8v Remove parenthesis around (-2 + v) -4 + -2 + v = -4(v + -8) + -8v Combine like terms: -4 + -2 = -6 -6 + v = -4(v + -8) + -8v Reorder the terms: -6 + v = -4(-8 + v) + -8v -6 + v = (-8 * -4 + v * -4) + -8v -6 + v = (32 + -4v) + -8v Combine like terms: -4v + -8v = -12v -6 + v = 32 + -12v Solving -6 + v = 32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -6 + v + 12v = 32 + -12v + 12v Combine like terms: v + 12v = 13v -6 + 13v = 32 + -12v + 12v Combine like terms: -12v + 12v = 0 -6 + 13v = 32 + 0 -6 + 13v = 32 Add '6' to each side of the equation. -6 + 6 + 13v = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 13v = 32 + 6 13v = 32 + 6 Combine like terms: 32 + 6 = 38 13v = 38 Divide each side by '13'. v = 2.923076923 Simplifying v = 2.923076923
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