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Simplifying -33 + 8v = 5(v + 3) Reorder the terms: -33 + 8v = 5(3 + v) -33 + 8v = (3 * 5 + v * 5) -33 + 8v = (15 + 5v) Solving -33 + 8v = 15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -33 + 8v + -5v = 15 + 5v + -5v Combine like terms: 8v + -5v = 3v -33 + 3v = 15 + 5v + -5v Combine like terms: 5v + -5v = 0 -33 + 3v = 15 + 0 -33 + 3v = 15 Add '33' to each side of the equation. -33 + 33 + 3v = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 3v = 15 + 33 3v = 15 + 33 Combine like terms: 15 + 33 = 48 3v = 48 Divide each side by '3'. v = 16 Simplifying v = 16
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