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Simplifying -3(3v + -4) + 8v = 5(v + 4) Reorder the terms: -3(-4 + 3v) + 8v = 5(v + 4) (-4 * -3 + 3v * -3) + 8v = 5(v + 4) (12 + -9v) + 8v = 5(v + 4) Combine like terms: -9v + 8v = -1v 12 + -1v = 5(v + 4) Reorder the terms: 12 + -1v = 5(4 + v) 12 + -1v = (4 * 5 + v * 5) 12 + -1v = (20 + 5v) Solving 12 + -1v = 20 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 12 + -1v + -5v = 20 + 5v + -5v Combine like terms: -1v + -5v = -6v 12 + -6v = 20 + 5v + -5v Combine like terms: 5v + -5v = 0 12 + -6v = 20 + 0 12 + -6v = 20 Add '-12' to each side of the equation. 12 + -12 + -6v = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = 20 + -12 -6v = 20 + -12 Combine like terms: 20 + -12 = 8 -6v = 8 Divide each side by '-6'. v = -1.333333333 Simplifying v = -1.333333333
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