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Simplifying 4(2v + -3) = 3(v + -5) Reorder the terms: 4(-3 + 2v) = 3(v + -5) (-3 * 4 + 2v * 4) = 3(v + -5) (-12 + 8v) = 3(v + -5) Reorder the terms: -12 + 8v = 3(-5 + v) -12 + 8v = (-5 * 3 + v * 3) -12 + 8v = (-15 + 3v) Solving -12 + 8v = -15 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -12 + 8v + -3v = -15 + 3v + -3v Combine like terms: 8v + -3v = 5v -12 + 5v = -15 + 3v + -3v Combine like terms: 3v + -3v = 0 -12 + 5v = -15 + 0 -12 + 5v = -15 Add '12' to each side of the equation. -12 + 12 + 5v = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 5v = -15 + 12 5v = -15 + 12 Combine like terms: -15 + 12 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6
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