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Simplifying -30 = 2v + 7(v + 6) Reorder the terms: -30 = 2v + 7(6 + v) -30 = 2v + (6 * 7 + v * 7) -30 = 2v + (42 + 7v) Reorder the terms: -30 = 42 + 2v + 7v Combine like terms: 2v + 7v = 9v -30 = 42 + 9v Solving -30 = 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. -30 + -9v = 42 + 9v + -9v Combine like terms: 9v + -9v = 0 -30 + -9v = 42 + 0 -30 + -9v = 42 Add '30' to each side of the equation. -30 + 30 + -9v = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -9v = 42 + 30 -9v = 42 + 30 Combine like terms: 42 + 30 = 72 -9v = 72 Divide each side by '-9'. v = -8 Simplifying v = -8
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