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Simplifying -17 + 8v = -6v + -5(2 + -3v) -17 + 8v = -6v + (2 * -5 + -3v * -5) -17 + 8v = -6v + (-10 + 15v) Reorder the terms: -17 + 8v = -10 + -6v + 15v Combine like terms: -6v + 15v = 9v -17 + 8v = -10 + 9v Solving -17 + 8v = -10 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -17 + 8v + -9v = -10 + 9v + -9v Combine like terms: 8v + -9v = -1v -17 + -1v = -10 + 9v + -9v Combine like terms: 9v + -9v = 0 -17 + -1v = -10 + 0 -17 + -1v = -10 Add '17' to each side of the equation. -17 + 17 + -1v = -10 + 17 Combine like terms: -17 + 17 = 0 0 + -1v = -10 + 17 -1v = -10 + 17 Combine like terms: -10 + 17 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7
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