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Simplifying -3v + -6v + 15 = -8v + 8 Reorder the terms: 15 + -3v + -6v = -8v + 8 Combine like terms: -3v + -6v = -9v 15 + -9v = -8v + 8 Reorder the terms: 15 + -9v = 8 + -8v Solving 15 + -9v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 15 + -9v + 8v = 8 + -8v + 8v Combine like terms: -9v + 8v = -1v 15 + -1v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 15 + -1v = 8 + 0 15 + -1v = 8 Add '-15' to each side of the equation. 15 + -15 + -1v = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1v = 8 + -15 -1v = 8 + -15 Combine like terms: 8 + -15 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7
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