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Simplifying 6(v + -6) = 3(v + -4) Reorder the terms: 6(-6 + v) = 3(v + -4) (-6 * 6 + v * 6) = 3(v + -4) (-36 + 6v) = 3(v + -4) Reorder the terms: -36 + 6v = 3(-4 + v) -36 + 6v = (-4 * 3 + v * 3) -36 + 6v = (-12 + 3v) Solving -36 + 6v = -12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -36 + 6v + -3v = -12 + 3v + -3v Combine like terms: 6v + -3v = 3v -36 + 3v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 -36 + 3v = -12 + 0 -36 + 3v = -12 Add '36' to each side of the equation. -36 + 36 + 3v = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 3v = -12 + 36 3v = -12 + 36 Combine like terms: -12 + 36 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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