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Simplifying -1 = 5v + 7(v + 5) Reorder the terms: -1 = 5v + 7(5 + v) -1 = 5v + (5 * 7 + v * 7) -1 = 5v + (35 + 7v) Reorder the terms: -1 = 35 + 5v + 7v Combine like terms: 5v + 7v = 12v -1 = 35 + 12v Solving -1 = 35 + 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. -1 + -12v = 35 + 12v + -12v Combine like terms: 12v + -12v = 0 -1 + -12v = 35 + 0 -1 + -12v = 35 Add '1' to each side of the equation. -1 + 1 + -12v = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -12v = 35 + 1 -12v = 35 + 1 Combine like terms: 35 + 1 = 36 -12v = 36 Divide each side by '-12'. v = -3 Simplifying v = -3
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