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Simplifying 20 = 5v + 3(v + -4) Reorder the terms: 20 = 5v + 3(-4 + v) 20 = 5v + (-4 * 3 + v * 3) 20 = 5v + (-12 + 3v) Reorder the terms: 20 = -12 + 5v + 3v Combine like terms: 5v + 3v = 8v 20 = -12 + 8v Solving 20 = -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. 20 + -8v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 20 + -8v = -12 + 0 20 + -8v = -12 Add '-20' to each side of the equation. 20 + -20 + -8v = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8v = -12 + -20 -8v = -12 + -20 Combine like terms: -12 + -20 = -32 -8v = -32 Divide each side by '-8'. v = 4 Simplifying v = 4
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