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Simplifying -5(v + -7) = 2v + 28 Reorder the terms: -5(-7 + v) = 2v + 28 (-7 * -5 + v * -5) = 2v + 28 (35 + -5v) = 2v + 28 Reorder the terms: 35 + -5v = 28 + 2v Solving 35 + -5v = 28 + 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. 35 + -5v + -2v = 28 + 2v + -2v Combine like terms: -5v + -2v = -7v 35 + -7v = 28 + 2v + -2v Combine like terms: 2v + -2v = 0 35 + -7v = 28 + 0 35 + -7v = 28 Add '-35' to each side of the equation. 35 + -35 + -7v = 28 + -35 Combine like terms: 35 + -35 = 0 0 + -7v = 28 + -35 -7v = 28 + -35 Combine like terms: 28 + -35 = -7 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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