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Simplifying 3(6v + -3) + -3 = 5(6v + 3) + -3v Reorder the terms: 3(-3 + 6v) + -3 = 5(6v + 3) + -3v (-3 * 3 + 6v * 3) + -3 = 5(6v + 3) + -3v (-9 + 18v) + -3 = 5(6v + 3) + -3v Reorder the terms: -9 + -3 + 18v = 5(6v + 3) + -3v Combine like terms: -9 + -3 = -12 -12 + 18v = 5(6v + 3) + -3v Reorder the terms: -12 + 18v = 5(3 + 6v) + -3v -12 + 18v = (3 * 5 + 6v * 5) + -3v -12 + 18v = (15 + 30v) + -3v Combine like terms: 30v + -3v = 27v -12 + 18v = 15 + 27v Solving -12 + 18v = 15 + 27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27v' to each side of the equation. -12 + 18v + -27v = 15 + 27v + -27v Combine like terms: 18v + -27v = -9v -12 + -9v = 15 + 27v + -27v Combine like terms: 27v + -27v = 0 -12 + -9v = 15 + 0 -12 + -9v = 15 Add '12' to each side of the equation. -12 + 12 + -9v = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -9v = 15 + 12 -9v = 15 + 12 Combine like terms: 15 + 12 = 27 -9v = 27 Divide each side by '-9'. v = -3 Simplifying v = -3
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