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Simplifying 6v + 36 = -2(v + 8) Reorder the terms: 36 + 6v = -2(v + 8) Reorder the terms: 36 + 6v = -2(8 + v) 36 + 6v = (8 * -2 + v * -2) 36 + 6v = (-16 + -2v) Solving 36 + 6v = -16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 36 + 6v + 2v = -16 + -2v + 2v Combine like terms: 6v + 2v = 8v 36 + 8v = -16 + -2v + 2v Combine like terms: -2v + 2v = 0 36 + 8v = -16 + 0 36 + 8v = -16 Add '-36' to each side of the equation. 36 + -36 + 8v = -16 + -36 Combine like terms: 36 + -36 = 0 0 + 8v = -16 + -36 8v = -16 + -36 Combine like terms: -16 + -36 = -52 8v = -52 Divide each side by '8'. v = -6.5 Simplifying v = -6.5
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