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Simplifying 4(v + -1) + -2 = -2(-8v + 6) + -8v Reorder the terms: 4(-1 + v) + -2 = -2(-8v + 6) + -8v (-1 * 4 + v * 4) + -2 = -2(-8v + 6) + -8v (-4 + 4v) + -2 = -2(-8v + 6) + -8v Reorder the terms: -4 + -2 + 4v = -2(-8v + 6) + -8v Combine like terms: -4 + -2 = -6 -6 + 4v = -2(-8v + 6) + -8v Reorder the terms: -6 + 4v = -2(6 + -8v) + -8v -6 + 4v = (6 * -2 + -8v * -2) + -8v -6 + 4v = (-12 + 16v) + -8v Combine like terms: 16v + -8v = 8v -6 + 4v = -12 + 8v Solving -6 + 4v = -12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -6 + 4v + -8v = -12 + 8v + -8v Combine like terms: 4v + -8v = -4v -6 + -4v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + -4v = -12 + 0 -6 + -4v = -12 Add '6' to each side of the equation. -6 + 6 + -4v = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = -12 + 6 -4v = -12 + 6 Combine like terms: -12 + 6 = -6 -4v = -6 Divide each side by '-4'. v = 1.5 Simplifying v = 1.5
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