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Simplifying 6(4) + 0 = 6(-2) + 8v Multiply 6 * 4 24 + 0 = 6(-2) + 8v Combine like terms: 24 + 0 = 24 24 = 6(-2) + 8v Multiply 6 * -2 24 = -12 + 8v Solving 24 = -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. 24 + -8v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + -8v = -12 + 0 24 + -8v = -12 Add '-24' to each side of the equation. 24 + -24 + -8v = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -8v = -12 + -24 -8v = -12 + -24 Combine like terms: -12 + -24 = -36 -8v = -36 Divide each side by '-8'. v = 4.5 Simplifying v = 4.5
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