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