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Simplifying -3v + 33 = -6(v + -1) Reorder the terms: 33 + -3v = -6(v + -1) Reorder the terms: 33 + -3v = -6(-1 + v) 33 + -3v = (-1 * -6 + v * -6) 33 + -3v = (6 + -6v) Solving 33 + -3v = 6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 33 + -3v + 6v = 6 + -6v + 6v Combine like terms: -3v + 6v = 3v 33 + 3v = 6 + -6v + 6v Combine like terms: -6v + 6v = 0 33 + 3v = 6 + 0 33 + 3v = 6 Add '-33' to each side of the equation. 33 + -33 + 3v = 6 + -33 Combine like terms: 33 + -33 = 0 0 + 3v = 6 + -33 3v = 6 + -33 Combine like terms: 6 + -33 = -27 3v = -27 Divide each side by '3'. v = -9 Simplifying v = -9
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