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Simplifying -1 = -5v + 3(v + 5) Reorder the terms: -1 = -5v + 3(5 + v) -1 = -5v + (5 * 3 + v * 3) -1 = -5v + (15 + 3v) Reorder the terms: -1 = 15 + -5v + 3v Combine like terms: -5v + 3v = -2v -1 = 15 + -2v Solving -1 = 15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -1 + 2v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 -1 + 2v = 15 + 0 -1 + 2v = 15 Add '1' to each side of the equation. -1 + 1 + 2v = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = 15 + 1 2v = 15 + 1 Combine like terms: 15 + 1 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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