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Simplifying -4 = 7(v + 8) + 5v Reorder the terms: -4 = 7(8 + v) + 5v -4 = (8 * 7 + v * 7) + 5v -4 = (56 + 7v) + 5v Combine like terms: 7v + 5v = 12v -4 = 56 + 12v Solving -4 = 56 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -4 + -12v = 56 + 12v + -12v Combine like terms: 12v + -12v = 0 -4 + -12v = 56 + 0 -4 + -12v = 56 Add '4' to each side of the equation. -4 + 4 + -12v = 56 + 4 Combine like terms: -4 + 4 = 0 0 + -12v = 56 + 4 -12v = 56 + 4 Combine like terms: 56 + 4 = 60 -12v = 60 Divide each side by '-12'. v = -5 Simplifying v = -5
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