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Simplifying 5(v + -9) = 8v + -33 Reorder the terms: 5(-9 + v) = 8v + -33 (-9 * 5 + v * 5) = 8v + -33 (-45 + 5v) = 8v + -33 Reorder the terms: -45 + 5v = -33 + 8v Solving -45 + 5v = -33 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -45 + 5v + -8v = -33 + 8v + -8v Combine like terms: 5v + -8v = -3v -45 + -3v = -33 + 8v + -8v Combine like terms: 8v + -8v = 0 -45 + -3v = -33 + 0 -45 + -3v = -33 Add '45' to each side of the equation. -45 + 45 + -3v = -33 + 45 Combine like terms: -45 + 45 = 0 0 + -3v = -33 + 45 -3v = -33 + 45 Combine like terms: -33 + 45 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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