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Simplifying 6(4 + v) + -8v = v + 30 (4 * 6 + v * 6) + -8v = v + 30 (24 + 6v) + -8v = v + 30 Combine like terms: 6v + -8v = -2v 24 + -2v = v + 30 Reorder the terms: 24 + -2v = 30 + v Solving 24 + -2v = 30 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 24 + -2v + -1v = 30 + v + -1v Combine like terms: -2v + -1v = -3v 24 + -3v = 30 + v + -1v Combine like terms: v + -1v = 0 24 + -3v = 30 + 0 24 + -3v = 30 Add '-24' to each side of the equation. 24 + -24 + -3v = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -3v = 30 + -24 -3v = 30 + -24 Combine like terms: 30 + -24 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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