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Simplifying 7(v + -5) + -9 = -6(-5v + 8) + -9v Reorder the terms: 7(-5 + v) + -9 = -6(-5v + 8) + -9v (-5 * 7 + v * 7) + -9 = -6(-5v + 8) + -9v (-35 + 7v) + -9 = -6(-5v + 8) + -9v Reorder the terms: -35 + -9 + 7v = -6(-5v + 8) + -9v Combine like terms: -35 + -9 = -44 -44 + 7v = -6(-5v + 8) + -9v Reorder the terms: -44 + 7v = -6(8 + -5v) + -9v -44 + 7v = (8 * -6 + -5v * -6) + -9v -44 + 7v = (-48 + 30v) + -9v Combine like terms: 30v + -9v = 21v -44 + 7v = -48 + 21v Solving -44 + 7v = -48 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -44 + 7v + -21v = -48 + 21v + -21v Combine like terms: 7v + -21v = -14v -44 + -14v = -48 + 21v + -21v Combine like terms: 21v + -21v = 0 -44 + -14v = -48 + 0 -44 + -14v = -48 Add '44' to each side of the equation. -44 + 44 + -14v = -48 + 44 Combine like terms: -44 + 44 = 0 0 + -14v = -48 + 44 -14v = -48 + 44 Combine like terms: -48 + 44 = -4 -14v = -4 Divide each side by '-14'. v = 0.2857142857 Simplifying v = 0.2857142857
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