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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 = 26 -3v = 26 Divide each side by '-3'. v = -8.666666667 Simplifying v = -8.666666667
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