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Simplifying 9(v + 1) + -3v = 2(3 + 4) + -15 Reorder the terms: 9(1 + v) + -3v = 2(3 + 4) + -15 (1 * 9 + v * 9) + -3v = 2(3 + 4) + -15 (9 + 9v) + -3v = 2(3 + 4) + -15 Combine like terms: 9v + -3v = 6v 9 + 6v = 2(3 + 4) + -15 Combine like terms: 3 + 4 = 7 9 + 6v = 2(7) + -15 Multiply 2 * 7 9 + 6v = 14 + -15 Combine like terms: 14 + -15 = -1 9 + 6v = -1 Solving 9 + 6v = -1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6v = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 6v = -1 + -9 6v = -1 + -9 Combine like terms: -1 + -9 = -10 6v = -10 Divide each side by '6'. v = -1.666666667 Simplifying v = -1.666666667
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