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Simplifying 12v + -6 = 3(v + 4) + 54 Reorder the terms: -6 + 12v = 3(v + 4) + 54 Reorder the terms: -6 + 12v = 3(4 + v) + 54 -6 + 12v = (4 * 3 + v * 3) + 54 -6 + 12v = (12 + 3v) + 54 Reorder the terms: -6 + 12v = 12 + 54 + 3v Combine like terms: 12 + 54 = 66 -6 + 12v = 66 + 3v Solving -6 + 12v = 66 + 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. -6 + 12v + -3v = 66 + 3v + -3v Combine like terms: 12v + -3v = 9v -6 + 9v = 66 + 3v + -3v Combine like terms: 3v + -3v = 0 -6 + 9v = 66 + 0 -6 + 9v = 66 Add '6' to each side of the equation. -6 + 6 + 9v = 66 + 6 Combine like terms: -6 + 6 = 0 0 + 9v = 66 + 6 9v = 66 + 6 Combine like terms: 66 + 6 = 72 9v = 72 Divide each side by '9'. v = 8 Simplifying v = 8
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