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Simplifying 2(3v + -4) + 6(6 + v) = -44 Reorder the terms: 2(-4 + 3v) + 6(6 + v) = -44 (-4 * 2 + 3v * 2) + 6(6 + v) = -44 (-8 + 6v) + 6(6 + v) = -44 -8 + 6v + (6 * 6 + v * 6) = -44 -8 + 6v + (36 + 6v) = -44 Reorder the terms: -8 + 36 + 6v + 6v = -44 Combine like terms: -8 + 36 = 28 28 + 6v + 6v = -44 Combine like terms: 6v + 6v = 12v 28 + 12v = -44 Solving 28 + 12v = -44 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12v = -44 + -28 Combine like terms: 28 + -28 = 0 0 + 12v = -44 + -28 12v = -44 + -28 Combine like terms: -44 + -28 = -72 12v = -72 Divide each side by '12'. v = -6 Simplifying v = -6
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