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Simplifying -4(v + 5) = 7v + 2 Reorder the terms: -4(5 + v) = 7v + 2 (5 * -4 + v * -4) = 7v + 2 (-20 + -4v) = 7v + 2 Reorder the terms: -20 + -4v = 2 + 7v Solving -20 + -4v = 2 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -20 + -4v + -7v = 2 + 7v + -7v Combine like terms: -4v + -7v = -11v -20 + -11v = 2 + 7v + -7v Combine like terms: 7v + -7v = 0 -20 + -11v = 2 + 0 -20 + -11v = 2 Add '20' to each side of the equation. -20 + 20 + -11v = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -11v = 2 + 20 -11v = 2 + 20 Combine like terms: 2 + 20 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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