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Simplifying 5(v + -6) + -7 = -5(-4v + 5) + -1v Reorder the terms: 5(-6 + v) + -7 = -5(-4v + 5) + -1v (-6 * 5 + v * 5) + -7 = -5(-4v + 5) + -1v (-30 + 5v) + -7 = -5(-4v + 5) + -1v Reorder the terms: -30 + -7 + 5v = -5(-4v + 5) + -1v Combine like terms: -30 + -7 = -37 -37 + 5v = -5(-4v + 5) + -1v Reorder the terms: -37 + 5v = -5(5 + -4v) + -1v -37 + 5v = (5 * -5 + -4v * -5) + -1v -37 + 5v = (-25 + 20v) + -1v Combine like terms: 20v + -1v = 19v -37 + 5v = -25 + 19v Solving -37 + 5v = -25 + 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. -37 + 5v + -19v = -25 + 19v + -19v Combine like terms: 5v + -19v = -14v -37 + -14v = -25 + 19v + -19v Combine like terms: 19v + -19v = 0 -37 + -14v = -25 + 0 -37 + -14v = -25 Add '37' to each side of the equation. -37 + 37 + -14v = -25 + 37 Combine like terms: -37 + 37 = 0 0 + -14v = -25 + 37 -14v = -25 + 37 Combine like terms: -25 + 37 = 12 -14v = 12 Divide each side by '-14'. v = -0.8571428571 Simplifying v = -0.8571428571
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