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Simplifying 3(v + 9) = -5(3v + -3) + 8v Reorder the terms: 3(9 + v) = -5(3v + -3) + 8v (9 * 3 + v * 3) = -5(3v + -3) + 8v (27 + 3v) = -5(3v + -3) + 8v Reorder the terms: 27 + 3v = -5(-3 + 3v) + 8v 27 + 3v = (-3 * -5 + 3v * -5) + 8v 27 + 3v = (15 + -15v) + 8v Combine like terms: -15v + 8v = -7v 27 + 3v = 15 + -7v Solving 27 + 3v = 15 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 27 + 3v + 7v = 15 + -7v + 7v Combine like terms: 3v + 7v = 10v 27 + 10v = 15 + -7v + 7v Combine like terms: -7v + 7v = 0 27 + 10v = 15 + 0 27 + 10v = 15 Add '-27' to each side of the equation. 27 + -27 + 10v = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 10v = 15 + -27 10v = 15 + -27 Combine like terms: 15 + -27 = -12 10v = -12 Divide each side by '10'. v = -1.2 Simplifying v = -1.2
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