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Simplifying 5(v + -6) + -2 = -5(-4v + 6) + -1v Reorder the terms: 5(-6 + v) + -2 = -5(-4v + 6) + -1v (-6 * 5 + v * 5) + -2 = -5(-4v + 6) + -1v (-30 + 5v) + -2 = -5(-4v + 6) + -1v Reorder the terms: -30 + -2 + 5v = -5(-4v + 6) + -1v Combine like terms: -30 + -2 = -32 -32 + 5v = -5(-4v + 6) + -1v Reorder the terms: -32 + 5v = -5(6 + -4v) + -1v -32 + 5v = (6 * -5 + -4v * -5) + -1v -32 + 5v = (-30 + 20v) + -1v Combine like terms: 20v + -1v = 19v -32 + 5v = -30 + 19v Solving -32 + 5v = -30 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -32 + 5v + -19v = -30 + 19v + -19v Combine like terms: 5v + -19v = -14v -32 + -14v = -30 + 19v + -19v Combine like terms: 19v + -19v = 0 -32 + -14v = -30 + 0 -32 + -14v = -30 Add '32' to each side of the equation. -32 + 32 + -14v = -30 + 32 Combine like terms: -32 + 32 = 0 0 + -14v = -30 + 32 -14v = -30 + 32 Combine like terms: -30 + 32 = 2 -14v = 2 Divide each side by '-14'. v = -0.1428571429 Simplifying v = -0.1428571429
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