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Simplifying 3 + -4v + 8v = -9 + 7v Combine like terms: -4v + 8v = 4v 3 + 4v = -9 + 7v Solving 3 + 4v = -9 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 3 + 4v + -7v = -9 + 7v + -7v Combine like terms: 4v + -7v = -3v 3 + -3v = -9 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + -3v = -9 + 0 3 + -3v = -9 Add '-3' to each side of the equation. 3 + -3 + -3v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3v = -9 + -3 -3v = -9 + -3 Combine like terms: -9 + -3 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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