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Simplifying 5(v + -6) + -6 = -6(-3v + 3) + -1v Reorder the terms: 5(-6 + v) + -6 = -6(-3v + 3) + -1v (-6 * 5 + v * 5) + -6 = -6(-3v + 3) + -1v (-30 + 5v) + -6 = -6(-3v + 3) + -1v Reorder the terms: -30 + -6 + 5v = -6(-3v + 3) + -1v Combine like terms: -30 + -6 = -36 -36 + 5v = -6(-3v + 3) + -1v Reorder the terms: -36 + 5v = -6(3 + -3v) + -1v -36 + 5v = (3 * -6 + -3v * -6) + -1v -36 + 5v = (-18 + 18v) + -1v Combine like terms: 18v + -1v = 17v -36 + 5v = -18 + 17v Solving -36 + 5v = -18 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -36 + 5v + -17v = -18 + 17v + -17v Combine like terms: 5v + -17v = -12v -36 + -12v = -18 + 17v + -17v Combine like terms: 17v + -17v = 0 -36 + -12v = -18 + 0 -36 + -12v = -18 Add '36' to each side of the equation. -36 + 36 + -12v = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -12v = -18 + 36 -12v = -18 + 36 Combine like terms: -18 + 36 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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