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Simplifying 7v + 6 = -5(v + 6) Reorder the terms: 6 + 7v = -5(v + 6) Reorder the terms: 6 + 7v = -5(6 + v) 6 + 7v = (6 * -5 + v * -5) 6 + 7v = (-30 + -5v) Solving 6 + 7v = -30 + -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. 6 + 7v + 5v = -30 + -5v + 5v Combine like terms: 7v + 5v = 12v 6 + 12v = -30 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 12v = -30 + 0 6 + 12v = -30 Add '-6' to each side of the equation. 6 + -6 + 12v = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 12v = -30 + -6 12v = -30 + -6 Combine like terms: -30 + -6 = -36 12v = -36 Divide each side by '12'. v = -3 Simplifying v = -3
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