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Simplifying 14(4) = 6(-2) + 8v Multiply 14 * 4 56 = 6(-2) + 8v Multiply 6 * -2 56 = -12 + 8v Solving 56 = -12 + 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. 56 + -8v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 56 + -8v = -12 + 0 56 + -8v = -12 Add '-56' to each side of the equation. 56 + -56 + -8v = -12 + -56 Combine like terms: 56 + -56 = 0 0 + -8v = -12 + -56 -8v = -12 + -56 Combine like terms: -12 + -56 = -68 -8v = -68 Divide each side by '-8'. v = 8.5 Simplifying v = 8.5
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