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Simplifying -9(v + 3) = 8v + 7 Reorder the terms: -9(3 + v) = 8v + 7 (3 * -9 + v * -9) = 8v + 7 (-27 + -9v) = 8v + 7 Reorder the terms: -27 + -9v = 7 + 8v Solving -27 + -9v = 7 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -27 + -9v + -8v = 7 + 8v + -8v Combine like terms: -9v + -8v = -17v -27 + -17v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -27 + -17v = 7 + 0 -27 + -17v = 7 Add '27' to each side of the equation. -27 + 27 + -17v = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -17v = 7 + 27 -17v = 7 + 27 Combine like terms: 7 + 27 = 34 -17v = 34 Divide each side by '-17'. v = -2 Simplifying v = -2
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