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Simplifying -5(-4 + 9) + -8v = 6(v + -6) + -7 Combine like terms: -4 + 9 = 5 -5(5) + -8v = 6(v + -6) + -7 Multiply -5 * 5 -25 + -8v = 6(v + -6) + -7 Reorder the terms: -25 + -8v = 6(-6 + v) + -7 -25 + -8v = (-6 * 6 + v * 6) + -7 -25 + -8v = (-36 + 6v) + -7 Reorder the terms: -25 + -8v = -36 + -7 + 6v Combine like terms: -36 + -7 = -43 -25 + -8v = -43 + 6v Solving -25 + -8v = -43 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -25 + -8v + -6v = -43 + 6v + -6v Combine like terms: -8v + -6v = -14v -25 + -14v = -43 + 6v + -6v Combine like terms: 6v + -6v = 0 -25 + -14v = -43 + 0 -25 + -14v = -43 Add '25' to each side of the equation. -25 + 25 + -14v = -43 + 25 Combine like terms: -25 + 25 = 0 0 + -14v = -43 + 25 -14v = -43 + 25 Combine like terms: -43 + 25 = -18 -14v = -18 Divide each side by '-14'. v = 1.285714286 Simplifying v = 1.285714286
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