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Simplifying 9 + -1(2v + 3) = -2 + -6 Reorder the terms: 9 + -1(3 + 2v) = -2 + -6 9 + (3 * -1 + 2v * -1) = -2 + -6 9 + (-3 + -2v) = -2 + -6 Combine like terms: 9 + -3 = 6 6 + -2v = -2 + -6 Combine like terms: -2 + -6 = -8 6 + -2v = -8 Solving 6 + -2v = -8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = -8 + -6 -2v = -8 + -6 Combine like terms: -8 + -6 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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