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Simplifying 3(v + -2) = 5v + 3 + -2(-2v + -3) Reorder the terms: 3(-2 + v) = 5v + 3 + -2(-2v + -3) (-2 * 3 + v * 3) = 5v + 3 + -2(-2v + -3) (-6 + 3v) = 5v + 3 + -2(-2v + -3) Reorder the terms: -6 + 3v = 5v + 3 + -2(-3 + -2v) -6 + 3v = 5v + 3 + (-3 * -2 + -2v * -2) -6 + 3v = 5v + 3 + (6 + 4v) Reorder the terms: -6 + 3v = 3 + 6 + 5v + 4v Combine like terms: 3 + 6 = 9 -6 + 3v = 9 + 5v + 4v Combine like terms: 5v + 4v = 9v -6 + 3v = 9 + 9v Solving -6 + 3v = 9 + 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. -6 + 3v + -9v = 9 + 9v + -9v Combine like terms: 3v + -9v = -6v -6 + -6v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 -6 + -6v = 9 + 0 -6 + -6v = 9 Add '6' to each side of the equation. -6 + 6 + -6v = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = 9 + 6 -6v = 9 + 6 Combine like terms: 9 + 6 = 15 -6v = 15 Divide each side by '-6'. v = -2.5 Simplifying v = -2.5
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