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Simplifying -6v + 3(v + -4) = 9 Reorder the terms: -6v + 3(-4 + v) = 9 -6v + (-4 * 3 + v * 3) = 9 -6v + (-12 + 3v) = 9 Reorder the terms: -12 + -6v + 3v = 9 Combine like terms: -6v + 3v = -3v -12 + -3v = 9 Solving -12 + -3v = 9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3v = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3v = 9 + 12 -3v = 9 + 12 Combine like terms: 9 + 12 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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