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Simplifying -6v + 3(v + 8) = 30 Reorder the terms: -6v + 3(8 + v) = 30 -6v + (8 * 3 + v * 3) = 30 -6v + (24 + 3v) = 30 Reorder the terms: 24 + -6v + 3v = 30 Combine like terms: -6v + 3v = -3v 24 + -3v = 30 Solving 24 + -3v = 30 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. 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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