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Simplifying -13 + -3v = 4(8 + -3v) -13 + -3v = (8 * 4 + -3v * 4) -13 + -3v = (32 + -12v) Solving -13 + -3v = 32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -13 + -3v + 12v = 32 + -12v + 12v Combine like terms: -3v + 12v = 9v -13 + 9v = 32 + -12v + 12v Combine like terms: -12v + 12v = 0 -13 + 9v = 32 + 0 -13 + 9v = 32 Add '13' to each side of the equation. -13 + 13 + 9v = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 9v = 32 + 13 9v = 32 + 13 Combine like terms: 32 + 13 = 45 9v = 45 Divide each side by '9'. v = 5 Simplifying v = 5
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