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Simplifying 8v + -33 = 3(v + 4) Reorder the terms: -33 + 8v = 3(v + 4) Reorder the terms: -33 + 8v = 3(4 + v) -33 + 8v = (4 * 3 + v * 3) -33 + 8v = (12 + 3v) Solving -33 + 8v = 12 + 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 + 8v + -3v = 12 + 3v + -3v Combine like terms: 8v + -3v = 5v -33 + 5v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 -33 + 5v = 12 + 0 -33 + 5v = 12 Add '33' to each side of the equation. -33 + 33 + 5v = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 5v = 12 + 33 5v = 12 + 33 Combine like terms: 12 + 33 = 45 5v = 45 Divide each side by '5'. v = 9 Simplifying v = 9
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