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Simplifying 4(v + 8) + -20 = 15 + v Reorder the terms: 4(8 + v) + -20 = 15 + v (8 * 4 + v * 4) + -20 = 15 + v (32 + 4v) + -20 = 15 + v Reorder the terms: 32 + -20 + 4v = 15 + v Combine like terms: 32 + -20 = 12 12 + 4v = 15 + v Solving 12 + 4v = 15 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 12 + 4v + -1v = 15 + v + -1v Combine like terms: 4v + -1v = 3v 12 + 3v = 15 + v + -1v Combine like terms: v + -1v = 0 12 + 3v = 15 + 0 12 + 3v = 15 Add '-12' to each side of the equation. 12 + -12 + 3v = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = 15 + -12 3v = 15 + -12 Combine like terms: 15 + -12 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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