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Simplifying 33 = 8 + 3(v + -5) Reorder the terms: 33 = 8 + 3(-5 + v) 33 = 8 + (-5 * 3 + v * 3) 33 = 8 + (-15 + 3v) Combine like terms: 8 + -15 = -7 33 = -7 + 3v Solving 33 = -7 + 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. 33 + -3v = -7 + 3v + -3v Combine like terms: 3v + -3v = 0 33 + -3v = -7 + 0 33 + -3v = -7 Add '-33' to each side of the equation. 33 + -33 + -3v = -7 + -33 Combine like terms: 33 + -33 = 0 0 + -3v = -7 + -33 -3v = -7 + -33 Combine like terms: -7 + -33 = -40 -3v = -40 Divide each side by '-3'. v = 13.33333333 Simplifying v = 13.33333333
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