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Simplifying 7v + 33 = 5(v + 5) Reorder the terms: 33 + 7v = 5(v + 5) Reorder the terms: 33 + 7v = 5(5 + v) 33 + 7v = (5 * 5 + v * 5) 33 + 7v = (25 + 5v) Solving 33 + 7v = 25 + 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 + 7v + -5v = 25 + 5v + -5v Combine like terms: 7v + -5v = 2v 33 + 2v = 25 + 5v + -5v Combine like terms: 5v + -5v = 0 33 + 2v = 25 + 0 33 + 2v = 25 Add '-33' to each side of the equation. 33 + -33 + 2v = 25 + -33 Combine like terms: 33 + -33 = 0 0 + 2v = 25 + -33 2v = 25 + -33 Combine like terms: 25 + -33 = -8 2v = -8 Divide each side by '2'. v = -4 Simplifying v = -4
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