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Simplifying 5v + 4 = -7(v + -4) Reorder the terms: 4 + 5v = -7(v + -4) Reorder the terms: 4 + 5v = -7(-4 + v) 4 + 5v = (-4 * -7 + v * -7) 4 + 5v = (28 + -7v) Solving 4 + 5v = 28 + -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. 4 + 5v + 7v = 28 + -7v + 7v Combine like terms: 5v + 7v = 12v 4 + 12v = 28 + -7v + 7v Combine like terms: -7v + 7v = 0 4 + 12v = 28 + 0 4 + 12v = 28 Add '-4' to each side of the equation. 4 + -4 + 12v = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 12v = 28 + -4 12v = 28 + -4 Combine like terms: 28 + -4 = 24 12v = 24 Divide each side by '12'. v = 2 Simplifying v = 2
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