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Simplifying 7v + -33 = 5(v + -3) Reorder the terms: -33 + 7v = 5(v + -3) Reorder the terms: -33 + 7v = 5(-3 + v) -33 + 7v = (-3 * 5 + v * 5) -33 + 7v = (-15 + 5v) Solving -33 + 7v = -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 + 7v + -5v = -15 + 5v + -5v Combine like terms: 7v + -5v = 2v -33 + 2v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 -33 + 2v = -15 + 0 -33 + 2v = -15 Add '33' to each side of the equation. -33 + 33 + 2v = -15 + 33 Combine like terms: -33 + 33 = 0 0 + 2v = -15 + 33 2v = -15 + 33 Combine like terms: -15 + 33 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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