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Simplifying 5 = 4(v + -7) + 7v Reorder the terms: 5 = 4(-7 + v) + 7v 5 = (-7 * 4 + v * 4) + 7v 5 = (-28 + 4v) + 7v Combine like terms: 4v + 7v = 11v 5 = -28 + 11v Solving 5 = -28 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 5 + -11v = -28 + 11v + -11v Combine like terms: 11v + -11v = 0 5 + -11v = -28 + 0 5 + -11v = -28 Add '-5' to each side of the equation. 5 + -5 + -11v = -28 + -5 Combine like terms: 5 + -5 = 0 0 + -11v = -28 + -5 -11v = -28 + -5 Combine like terms: -28 + -5 = -33 -11v = -33 Divide each side by '-11'. v = 3 Simplifying v = 3
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