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Simplifying -7(2v + -4) + 7v = 5(v + 4) Reorder the terms: -7(-4 + 2v) + 7v = 5(v + 4) (-4 * -7 + 2v * -7) + 7v = 5(v + 4) (28 + -14v) + 7v = 5(v + 4) Combine like terms: -14v + 7v = -7v 28 + -7v = 5(v + 4) Reorder the terms: 28 + -7v = 5(4 + v) 28 + -7v = (4 * 5 + v * 5) 28 + -7v = (20 + 5v) Solving 28 + -7v = 20 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 28 + -7v + -5v = 20 + 5v + -5v Combine like terms: -7v + -5v = -12v 28 + -12v = 20 + 5v + -5v Combine like terms: 5v + -5v = 0 28 + -12v = 20 + 0 28 + -12v = 20 Add '-28' to each side of the equation. 28 + -28 + -12v = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -12v = 20 + -28 -12v = 20 + -28 Combine like terms: 20 + -28 = -8 -12v = -8 Divide each side by '-12'. v = 0.6666666667 Simplifying v = 0.6666666667
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