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Simplifying -9v + -42 = 2(v + 1) Reorder the terms: -42 + -9v = 2(v + 1) Reorder the terms: -42 + -9v = 2(1 + v) -42 + -9v = (1 * 2 + v * 2) -42 + -9v = (2 + 2v) Solving -42 + -9v = 2 + 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. -42 + -9v + -2v = 2 + 2v + -2v Combine like terms: -9v + -2v = -11v -42 + -11v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 -42 + -11v = 2 + 0 -42 + -11v = 2 Add '42' to each side of the equation. -42 + 42 + -11v = 2 + 42 Combine like terms: -42 + 42 = 0 0 + -11v = 2 + 42 -11v = 2 + 42 Combine like terms: 2 + 42 = 44 -11v = 44 Divide each side by '-11'. v = -4 Simplifying v = -4
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