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Simplifying 7v + 27 = -5(v + -3) Reorder the terms: 27 + 7v = -5(v + -3) Reorder the terms: 27 + 7v = -5(-3 + v) 27 + 7v = (-3 * -5 + v * -5) 27 + 7v = (15 + -5v) Solving 27 + 7v = 15 + -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. 27 + 7v + 5v = 15 + -5v + 5v Combine like terms: 7v + 5v = 12v 27 + 12v = 15 + -5v + 5v Combine like terms: -5v + 5v = 0 27 + 12v = 15 + 0 27 + 12v = 15 Add '-27' to each side of the equation. 27 + -27 + 12v = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 12v = 15 + -27 12v = 15 + -27 Combine like terms: 15 + -27 = -12 12v = -12 Divide each side by '12'. v = -1 Simplifying v = -1
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