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Simplifying 3(3 + v) = -4v + -33 (3 * 3 + v * 3) = -4v + -33 (9 + 3v) = -4v + -33 Reorder the terms: 9 + 3v = -33 + -4v Solving 9 + 3v = -33 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 9 + 3v + 4v = -33 + -4v + 4v Combine like terms: 3v + 4v = 7v 9 + 7v = -33 + -4v + 4v Combine like terms: -4v + 4v = 0 9 + 7v = -33 + 0 9 + 7v = -33 Add '-9' to each side of the equation. 9 + -9 + 7v = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 7v = -33 + -9 7v = -33 + -9 Combine like terms: -33 + -9 = -42 7v = -42 Divide each side by '7'. v = -6 Simplifying v = -6
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