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Simplifying 32 = 8v + 5(v + -4) Reorder the terms: 32 = 8v + 5(-4 + v) 32 = 8v + (-4 * 5 + v * 5) 32 = 8v + (-20 + 5v) Reorder the terms: 32 = -20 + 8v + 5v Combine like terms: 8v + 5v = 13v 32 = -20 + 13v Solving 32 = -20 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 32 + -13v = -20 + 13v + -13v Combine like terms: 13v + -13v = 0 32 + -13v = -20 + 0 32 + -13v = -20 Add '-32' to each side of the equation. 32 + -32 + -13v = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -13v = -20 + -32 -13v = -20 + -32 Combine like terms: -20 + -32 = -52 -13v = -52 Divide each side by '-13'. v = 4 Simplifying v = 4
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