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Simplifying -7v + 5(v + 7) = 21 Reorder the terms: -7v + 5(7 + v) = 21 -7v + (7 * 5 + v * 5) = 21 -7v + (35 + 5v) = 21 Reorder the terms: 35 + -7v + 5v = 21 Combine like terms: -7v + 5v = -2v 35 + -2v = 21 Solving 35 + -2v = 21 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 = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -2v = 21 + -35 -2v = 21 + -35 Combine like terms: 21 + -35 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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