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Simplifying 4(6 + -4v) + 8(v + 60) = -6v + 4v (6 * 4 + -4v * 4) + 8(v + 60) = -6v + 4v (24 + -16v) + 8(v + 60) = -6v + 4v Reorder the terms: 24 + -16v + 8(60 + v) = -6v + 4v 24 + -16v + (60 * 8 + v * 8) = -6v + 4v 24 + -16v + (480 + 8v) = -6v + 4v Reorder the terms: 24 + 480 + -16v + 8v = -6v + 4v Combine like terms: 24 + 480 = 504 504 + -16v + 8v = -6v + 4v Combine like terms: -16v + 8v = -8v 504 + -8v = -6v + 4v Combine like terms: -6v + 4v = -2v 504 + -8v = -2v Solving 504 + -8v = -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 504 + -8v + 2v = -2v + 2v Combine like terms: -8v + 2v = -6v 504 + -6v = -2v + 2v Combine like terms: -2v + 2v = 0 504 + -6v = 0 Add '-504' to each side of the equation. 504 + -504 + -6v = 0 + -504 Combine like terms: 504 + -504 = 0 0 + -6v = 0 + -504 -6v = 0 + -504 Combine like terms: 0 + -504 = -504 -6v = -504 Divide each side by '-6'. v = 84 Simplifying v = 84
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