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Simplifying -33 = -7 + 2(v + 6) Reorder the terms: -33 = -7 + 2(6 + v) -33 = -7 + (6 * 2 + v * 2) -33 = -7 + (12 + 2v) Combine like terms: -7 + 12 = 5 -33 = 5 + 2v Solving -33 = 5 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -33 + -2v = 5 + 2v + -2v Combine like terms: 2v + -2v = 0 -33 + -2v = 5 + 0 -33 + -2v = 5 Add '33' to each side of the equation. -33 + 33 + -2v = 5 + 33 Combine like terms: -33 + 33 = 0 0 + -2v = 5 + 33 -2v = 5 + 33 Combine like terms: 5 + 33 = 38 -2v = 38 Divide each side by '-2'. v = -19 Simplifying v = -19
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