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Simplifying -7v + 5(v + 7) = 7 Reorder the terms: -7v + 5(7 + v) = 7 -7v + (7 * 5 + v * 5) = 7 -7v + (35 + 5v) = 7 Reorder the terms: 35 + -7v + 5v = 7 Combine like terms: -7v + 5v = -2v 35 + -2v = 7 Solving 35 + -2v = 7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -2v = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -2v = 7 + -35 -2v = 7 + -35 Combine like terms: 7 + -35 = -28 -2v = -28 Divide each side by '-2'. v = 14 Simplifying v = 14
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