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Simplifying 33 + 9v = -8(6v + -7) Reorder the terms: 33 + 9v = -8(-7 + 6v) 33 + 9v = (-7 * -8 + 6v * -8) 33 + 9v = (56 + -48v) Solving 33 + 9v = 56 + -48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '48v' to each side of the equation. 33 + 9v + 48v = 56 + -48v + 48v Combine like terms: 9v + 48v = 57v 33 + 57v = 56 + -48v + 48v Combine like terms: -48v + 48v = 0 33 + 57v = 56 + 0 33 + 57v = 56 Add '-33' to each side of the equation. 33 + -33 + 57v = 56 + -33 Combine like terms: 33 + -33 = 0 0 + 57v = 56 + -33 57v = 56 + -33 Combine like terms: 56 + -33 = 23 57v = 23 Divide each side by '57'. v = 0.4035087719 Simplifying v = 0.4035087719
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