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Simplifying -35 = 2v + 7(v + 4) Reorder the terms: -35 = 2v + 7(4 + v) -35 = 2v + (4 * 7 + v * 7) -35 = 2v + (28 + 7v) Reorder the terms: -35 = 28 + 2v + 7v Combine like terms: 2v + 7v = 9v -35 = 28 + 9v Solving -35 = 28 + 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. -35 + -9v = 28 + 9v + -9v Combine like terms: 9v + -9v = 0 -35 + -9v = 28 + 0 -35 + -9v = 28 Add '35' to each side of the equation. -35 + 35 + -9v = 28 + 35 Combine like terms: -35 + 35 = 0 0 + -9v = 28 + 35 -9v = 28 + 35 Combine like terms: 28 + 35 = 63 -9v = 63 Divide each side by '-9'. v = -7 Simplifying v = -7
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