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Simplifying 20 = 4(v + -4) + 5v Reorder the terms: 20 = 4(-4 + v) + 5v 20 = (-4 * 4 + v * 4) + 5v 20 = (-16 + 4v) + 5v Combine like terms: 4v + 5v = 9v 20 = -16 + 9v Solving 20 = -16 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 20 + -9v = -16 + 9v + -9v Combine like terms: 9v + -9v = 0 20 + -9v = -16 + 0 20 + -9v = -16 Add '-20' to each side of the equation. 20 + -20 + -9v = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -9v = -16 + -20 -9v = -16 + -20 Combine like terms: -16 + -20 = -36 -9v = -36 Divide each side by '-9'. v = 4 Simplifying v = 4
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