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Simplifying 2(v + 7) = 9v + 42 Reorder the terms: 2(7 + v) = 9v + 42 (7 * 2 + v * 2) = 9v + 42 (14 + 2v) = 9v + 42 Reorder the terms: 14 + 2v = 42 + 9v Solving 14 + 2v = 42 + 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 + 2v + -9v = 42 + 9v + -9v Combine like terms: 2v + -9v = -7v 14 + -7v = 42 + 9v + -9v Combine like terms: 9v + -9v = 0 14 + -7v = 42 + 0 14 + -7v = 42 Add '-14' to each side of the equation. 14 + -14 + -7v = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -7v = 42 + -14 -7v = 42 + -14 Combine like terms: 42 + -14 = 28 -7v = 28 Divide each side by '-7'. v = -4 Simplifying v = -4
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