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Simplifying 7v + -12 = 8v + -16 Reorder the terms: -12 + 7v = 8v + -16 Reorder the terms: -12 + 7v = -16 + 8v Solving -12 + 7v = -16 + 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. -12 + 7v + -8v = -16 + 8v + -8v Combine like terms: 7v + -8v = -1v -12 + -1v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -1v = -16 + 0 -12 + -1v = -16 Add '12' to each side of the equation. -12 + 12 + -1v = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -1v = -16 + 12 -1v = -16 + 12 Combine like terms: -16 + 12 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4
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