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Simplifying -5(-6v + 7) + -9v = 6(v + -4) + -5 Reorder the terms: -5(7 + -6v) + -9v = 6(v + -4) + -5 (7 * -5 + -6v * -5) + -9v = 6(v + -4) + -5 (-35 + 30v) + -9v = 6(v + -4) + -5 Combine like terms: 30v + -9v = 21v -35 + 21v = 6(v + -4) + -5 Reorder the terms: -35 + 21v = 6(-4 + v) + -5 -35 + 21v = (-4 * 6 + v * 6) + -5 -35 + 21v = (-24 + 6v) + -5 Reorder the terms: -35 + 21v = -24 + -5 + 6v Combine like terms: -24 + -5 = -29 -35 + 21v = -29 + 6v Solving -35 + 21v = -29 + 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. -35 + 21v + -6v = -29 + 6v + -6v Combine like terms: 21v + -6v = 15v -35 + 15v = -29 + 6v + -6v Combine like terms: 6v + -6v = 0 -35 + 15v = -29 + 0 -35 + 15v = -29 Add '35' to each side of the equation. -35 + 35 + 15v = -29 + 35 Combine like terms: -35 + 35 = 0 0 + 15v = -29 + 35 15v = -29 + 35 Combine like terms: -29 + 35 = 6 15v = 6 Divide each side by '15'. v = 0.4 Simplifying v = 0.4
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