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