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Simplifying 8v + -12 = 9v + -15 Reorder the terms: -12 + 8v = 9v + -15 Reorder the terms: -12 + 8v = -15 + 9v Solving -12 + 8v = -15 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -12 + 8v + -9v = -15 + 9v + -9v Combine like terms: 8v + -9v = -1v -12 + -1v = -15 + 9v + -9v Combine like terms: 9v + -9v = 0 -12 + -1v = -15 + 0 -12 + -1v = -15 Add '12' to each side of the equation. -12 + 12 + -1v = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -1v = -15 + 12 -1v = -15 + 12 Combine like terms: -15 + 12 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3
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