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Simplifying -33 = 8(3 + 3v) + -5v -33 = (3 * 8 + 3v * 8) + -5v -33 = (24 + 24v) + -5v Combine like terms: 24v + -5v = 19v -33 = 24 + 19v Solving -33 = 24 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -33 + -19v = 24 + 19v + -19v Combine like terms: 19v + -19v = 0 -33 + -19v = 24 + 0 -33 + -19v = 24 Add '33' to each side of the equation. -33 + 33 + -19v = 24 + 33 Combine like terms: -33 + 33 = 0 0 + -19v = 24 + 33 -19v = 24 + 33 Combine like terms: 24 + 33 = 57 -19v = 57 Divide each side by '-19'. v = -3 Simplifying v = -3
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