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Simplifying -1(v + -9) + 11 = v + 42 Reorder the terms: -1(-9 + v) + 11 = v + 42 (-9 * -1 + v * -1) + 11 = v + 42 (9 + -1v) + 11 = v + 42 Reorder the terms: 9 + 11 + -1v = v + 42 Combine like terms: 9 + 11 = 20 20 + -1v = v + 42 Reorder the terms: 20 + -1v = 42 + v Solving 20 + -1v = 42 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 20 + -1v + -1v = 42 + v + -1v Combine like terms: -1v + -1v = -2v 20 + -2v = 42 + v + -1v Combine like terms: v + -1v = 0 20 + -2v = 42 + 0 20 + -2v = 42 Add '-20' to each side of the equation. 20 + -20 + -2v = 42 + -20 Combine like terms: 20 + -20 = 0 0 + -2v = 42 + -20 -2v = 42 + -20 Combine like terms: 42 + -20 = 22 -2v = 22 Divide each side by '-2'. v = -11 Simplifying v = -11
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