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Simplifying -1 + -17v = -9(3v + 19) Reorder the terms: -1 + -17v = -9(19 + 3v) -1 + -17v = (19 * -9 + 3v * -9) -1 + -17v = (-171 + -27v) Solving -1 + -17v = -171 + -27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '27v' to each side of the equation. -1 + -17v + 27v = -171 + -27v + 27v Combine like terms: -17v + 27v = 10v -1 + 10v = -171 + -27v + 27v Combine like terms: -27v + 27v = 0 -1 + 10v = -171 + 0 -1 + 10v = -171 Add '1' to each side of the equation. -1 + 1 + 10v = -171 + 1 Combine like terms: -1 + 1 = 0 0 + 10v = -171 + 1 10v = -171 + 1 Combine like terms: -171 + 1 = -170 10v = -170 Divide each side by '10'. v = -17 Simplifying v = -17
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