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Simplifying 8(6v + -2) + 3(v + 4) = -55 Reorder the terms: 8(-2 + 6v) + 3(v + 4) = -55 (-2 * 8 + 6v * 8) + 3(v + 4) = -55 (-16 + 48v) + 3(v + 4) = -55 Reorder the terms: -16 + 48v + 3(4 + v) = -55 -16 + 48v + (4 * 3 + v * 3) = -55 -16 + 48v + (12 + 3v) = -55 Reorder the terms: -16 + 12 + 48v + 3v = -55 Combine like terms: -16 + 12 = -4 -4 + 48v + 3v = -55 Combine like terms: 48v + 3v = 51v -4 + 51v = -55 Solving -4 + 51v = -55 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 51v = -55 + 4 Combine like terms: -4 + 4 = 0 0 + 51v = -55 + 4 51v = -55 + 4 Combine like terms: -55 + 4 = -51 51v = -51 Divide each side by '51'. v = -1 Simplifying v = -1
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