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Simplifying 2v + 36 = -5(v + 4) Reorder the terms: 36 + 2v = -5(v + 4) Reorder the terms: 36 + 2v = -5(4 + v) 36 + 2v = (4 * -5 + v * -5) 36 + 2v = (-20 + -5v) Solving 36 + 2v = -20 + -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. 36 + 2v + 5v = -20 + -5v + 5v Combine like terms: 2v + 5v = 7v 36 + 7v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 36 + 7v = -20 + 0 36 + 7v = -20 Add '-36' to each side of the equation. 36 + -36 + 7v = -20 + -36 Combine like terms: 36 + -36 = 0 0 + 7v = -20 + -36 7v = -20 + -36 Combine like terms: -20 + -36 = -56 7v = -56 Divide each side by '7'. v = -8 Simplifying v = -8
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