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Simplifying -4(v + -2) = -4(4 + -8) + -8v Reorder the terms: -4(-2 + v) = -4(4 + -8) + -8v (-2 * -4 + v * -4) = -4(4 + -8) + -8v (8 + -4v) = -4(4 + -8) + -8v Combine like terms: 4 + -8 = -4 8 + -4v = -4(-4) + -8v Multiply -4 * -4 8 + -4v = 16 + -8v Solving 8 + -4v = 16 + -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. 8 + -4v + 8v = 16 + -8v + 8v Combine like terms: -4v + 8v = 4v 8 + 4v = 16 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + 4v = 16 + 0 8 + 4v = 16 Add '-8' to each side of the equation. 8 + -8 + 4v = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4v = 16 + -8 4v = 16 + -8 Combine like terms: 16 + -8 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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