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Simplifying 7(v + -2) = 9v + -32 Reorder the terms: 7(-2 + v) = 9v + -32 (-2 * 7 + v * 7) = 9v + -32 (-14 + 7v) = 9v + -32 Reorder the terms: -14 + 7v = -32 + 9v Solving -14 + 7v = -32 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -14 + 7v + -9v = -32 + 9v + -9v Combine like terms: 7v + -9v = -2v -14 + -2v = -32 + 9v + -9v Combine like terms: 9v + -9v = 0 -14 + -2v = -32 + 0 -14 + -2v = -32 Add '14' to each side of the equation. -14 + 14 + -2v = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = -32 + 14 -2v = -32 + 14 Combine like terms: -32 + 14 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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