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Simplifying -5(v + 7) = 2v + 14 Reorder the terms: -5(7 + v) = 2v + 14 (7 * -5 + v * -5) = 2v + 14 (-35 + -5v) = 2v + 14 Reorder the terms: -35 + -5v = 14 + 2v Solving -35 + -5v = 14 + 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 = 14 + 2v + -2v Combine like terms: -5v + -2v = -7v -35 + -7v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 -35 + -7v = 14 + 0 -35 + -7v = 14 Add '35' to each side of the equation. -35 + 35 + -7v = 14 + 35 Combine like terms: -35 + 35 = 0 0 + -7v = 14 + 35 -7v = 14 + 35 Combine like terms: 14 + 35 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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