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Simplifying 20 = 7v + -3(v + 4) Reorder the terms: 20 = 7v + -3(4 + v) 20 = 7v + (4 * -3 + v * -3) 20 = 7v + (-12 + -3v) Reorder the terms: 20 = -12 + 7v + -3v Combine like terms: 7v + -3v = 4v 20 = -12 + 4v Solving 20 = -12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 20 + -4v = -12 + 4v + -4v Combine like terms: 4v + -4v = 0 20 + -4v = -12 + 0 20 + -4v = -12 Add '-20' to each side of the equation. 20 + -20 + -4v = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -4v = -12 + -20 -4v = -12 + -20 Combine like terms: -12 + -20 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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