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Simplifying 3(v + -2) + -8 = -4(-7v + 5) + -9v Reorder the terms: 3(-2 + v) + -8 = -4(-7v + 5) + -9v (-2 * 3 + v * 3) + -8 = -4(-7v + 5) + -9v (-6 + 3v) + -8 = -4(-7v + 5) + -9v Reorder the terms: -6 + -8 + 3v = -4(-7v + 5) + -9v Combine like terms: -6 + -8 = -14 -14 + 3v = -4(-7v + 5) + -9v Reorder the terms: -14 + 3v = -4(5 + -7v) + -9v -14 + 3v = (5 * -4 + -7v * -4) + -9v -14 + 3v = (-20 + 28v) + -9v Combine like terms: 28v + -9v = 19v -14 + 3v = -20 + 19v Solving -14 + 3v = -20 + 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. -14 + 3v + -19v = -20 + 19v + -19v Combine like terms: 3v + -19v = -16v -14 + -16v = -20 + 19v + -19v Combine like terms: 19v + -19v = 0 -14 + -16v = -20 + 0 -14 + -16v = -20 Add '14' to each side of the equation. -14 + 14 + -16v = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -16v = -20 + 14 -16v = -20 + 14 Combine like terms: -20 + 14 = -6 -16v = -6 Divide each side by '-16'. v = 0.375 Simplifying v = 0.375
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