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Simplifying 3(2v + -4) = 8v + 18 Reorder the terms: 3(-4 + 2v) = 8v + 18 (-4 * 3 + 2v * 3) = 8v + 18 (-12 + 6v) = 8v + 18 Reorder the terms: -12 + 6v = 18 + 8v Solving -12 + 6v = 18 + 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. -12 + 6v + -8v = 18 + 8v + -8v Combine like terms: 6v + -8v = -2v -12 + -2v = 18 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -2v = 18 + 0 -12 + -2v = 18 Add '12' to each side of the equation. -12 + 12 + -2v = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = 18 + 12 -2v = 18 + 12 Combine like terms: 18 + 12 = 30 -2v = 30 Divide each side by '-2'. v = -15 Simplifying v = -15
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