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Simplifying 4(v + 3) = -5v + -33 Reorder the terms: 4(3 + v) = -5v + -33 (3 * 4 + v * 4) = -5v + -33 (12 + 4v) = -5v + -33 Reorder the terms: 12 + 4v = -33 + -5v Solving 12 + 4v = -33 + -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. 12 + 4v + 5v = -33 + -5v + 5v Combine like terms: 4v + 5v = 9v 12 + 9v = -33 + -5v + 5v Combine like terms: -5v + 5v = 0 12 + 9v = -33 + 0 12 + 9v = -33 Add '-12' to each side of the equation. 12 + -12 + 9v = -33 + -12 Combine like terms: 12 + -12 = 0 0 + 9v = -33 + -12 9v = -33 + -12 Combine like terms: -33 + -12 = -45 9v = -45 Divide each side by '9'. v = -5 Simplifying v = -5
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