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Simplifying 3(v + -5) = -2(-8 + 3v) Reorder the terms: 3(-5 + v) = -2(-8 + 3v) (-5 * 3 + v * 3) = -2(-8 + 3v) (-15 + 3v) = -2(-8 + 3v) -15 + 3v = (-8 * -2 + 3v * -2) -15 + 3v = (16 + -6v) Solving -15 + 3v = 16 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -15 + 3v + 6v = 16 + -6v + 6v Combine like terms: 3v + 6v = 9v -15 + 9v = 16 + -6v + 6v Combine like terms: -6v + 6v = 0 -15 + 9v = 16 + 0 -15 + 9v = 16 Add '15' to each side of the equation. -15 + 15 + 9v = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 9v = 16 + 15 9v = 16 + 15 Combine like terms: 16 + 15 = 31 9v = 31 Divide each side by '9'. v = 3.444444444 Simplifying v = 3.444444444
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