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Simplifying -1(v + 17) = 5(v + -3) Reorder the terms: -1(17 + v) = 5(v + -3) (17 * -1 + v * -1) = 5(v + -3) (-17 + -1v) = 5(v + -3) Reorder the terms: -17 + -1v = 5(-3 + v) -17 + -1v = (-3 * 5 + v * 5) -17 + -1v = (-15 + 5v) Solving -17 + -1v = -15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -17 + -1v + -5v = -15 + 5v + -5v Combine like terms: -1v + -5v = -6v -17 + -6v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 -17 + -6v = -15 + 0 -17 + -6v = -15 Add '17' to each side of the equation. -17 + 17 + -6v = -15 + 17 Combine like terms: -17 + 17 = 0 0 + -6v = -15 + 17 -6v = -15 + 17 Combine like terms: -15 + 17 = 2 -6v = 2 Divide each side by '-6'. v = -0.3333333333 Simplifying v = -0.3333333333
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