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