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Simplifying 3(v + -2) = 9v + 3 + -5(-2v + -1) Reorder the terms: 3(-2 + v) = 9v + 3 + -5(-2v + -1) (-2 * 3 + v * 3) = 9v + 3 + -5(-2v + -1) (-6 + 3v) = 9v + 3 + -5(-2v + -1) Reorder the terms: -6 + 3v = 9v + 3 + -5(-1 + -2v) -6 + 3v = 9v + 3 + (-1 * -5 + -2v * -5) -6 + 3v = 9v + 3 + (5 + 10v) Reorder the terms: -6 + 3v = 3 + 5 + 9v + 10v Combine like terms: 3 + 5 = 8 -6 + 3v = 8 + 9v + 10v Combine like terms: 9v + 10v = 19v -6 + 3v = 8 + 19v Solving -6 + 3v = 8 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -6 + 3v + -19v = 8 + 19v + -19v Combine like terms: 3v + -19v = -16v -6 + -16v = 8 + 19v + -19v Combine like terms: 19v + -19v = 0 -6 + -16v = 8 + 0 -6 + -16v = 8 Add '6' to each side of the equation. -6 + 6 + -16v = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -16v = 8 + 6 -16v = 8 + 6 Combine like terms: 8 + 6 = 14 -16v = 14 Divide each side by '-16'. v = -0.875 Simplifying v = -0.875
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