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Simplifying 13 = -5v + 2(v + 8) Reorder the terms: 13 = -5v + 2(8 + v) 13 = -5v + (8 * 2 + v * 2) 13 = -5v + (16 + 2v) Reorder the terms: 13 = 16 + -5v + 2v Combine like terms: -5v + 2v = -3v 13 = 16 + -3v Solving 13 = 16 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 13 + 3v = 16 + -3v + 3v Combine like terms: -3v + 3v = 0 13 + 3v = 16 + 0 13 + 3v = 16 Add '-13' to each side of the equation. 13 + -13 + 3v = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 3v = 16 + -13 3v = 16 + -13 Combine like terms: 16 + -13 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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