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Simplifying -3(v + -4) = 4v + 33 Reorder the terms: -3(-4 + v) = 4v + 33 (-4 * -3 + v * -3) = 4v + 33 (12 + -3v) = 4v + 33 Reorder the terms: 12 + -3v = 33 + 4v Solving 12 + -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. 12 + -3v + -4v = 33 + 4v + -4v Combine like terms: -3v + -4v = -7v 12 + -7v = 33 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + -7v = 33 + 0 12 + -7v = 33 Add '-12' to each side of the equation. 12 + -12 + -7v = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -7v = 33 + -12 -7v = 33 + -12 Combine like terms: 33 + -12 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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