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Simplifying 3v + -4(v + -4) = -20 + 8v Reorder the terms: 3v + -4(-4 + v) = -20 + 8v 3v + (-4 * -4 + v * -4) = -20 + 8v 3v + (16 + -4v) = -20 + 8v Reorder the terms: 16 + 3v + -4v = -20 + 8v Combine like terms: 3v + -4v = -1v 16 + -1v = -20 + 8v Solving 16 + -1v = -20 + 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. 16 + -1v + -8v = -20 + 8v + -8v Combine like terms: -1v + -8v = -9v 16 + -9v = -20 + 8v + -8v Combine like terms: 8v + -8v = 0 16 + -9v = -20 + 0 16 + -9v = -20 Add '-16' to each side of the equation. 16 + -16 + -9v = -20 + -16 Combine like terms: 16 + -16 = 0 0 + -9v = -20 + -16 -9v = -20 + -16 Combine like terms: -20 + -16 = -36 -9v = -36 Divide each side by '-9'. v = 4 Simplifying v = 4
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