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Simplifying -17 = -2v + 5(3 + 2v) -17 = -2v + (3 * 5 + 2v * 5) -17 = -2v + (15 + 10v) Reorder the terms: -17 = 15 + -2v + 10v Combine like terms: -2v + 10v = 8v -17 = 15 + 8v Solving -17 = 15 + 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. -17 + -8v = 15 + 8v + -8v Combine like terms: 8v + -8v = 0 -17 + -8v = 15 + 0 -17 + -8v = 15 Add '17' to each side of the equation. -17 + 17 + -8v = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -8v = 15 + 17 -8v = 15 + 17 Combine like terms: 15 + 17 = 32 -8v = 32 Divide each side by '-8'. v = -4 Simplifying v = -4
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