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Simplifying 6v + 36 = -8(5v + 7) Reorder the terms: 36 + 6v = -8(5v + 7) Reorder the terms: 36 + 6v = -8(7 + 5v) 36 + 6v = (7 * -8 + 5v * -8) 36 + 6v = (-56 + -40v) Solving 36 + 6v = -56 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. 36 + 6v + 40v = -56 + -40v + 40v Combine like terms: 6v + 40v = 46v 36 + 46v = -56 + -40v + 40v Combine like terms: -40v + 40v = 0 36 + 46v = -56 + 0 36 + 46v = -56 Add '-36' to each side of the equation. 36 + -36 + 46v = -56 + -36 Combine like terms: 36 + -36 = 0 0 + 46v = -56 + -36 46v = -56 + -36 Combine like terms: -56 + -36 = -92 46v = -92 Divide each side by '46'. v = -2 Simplifying v = -2
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