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Simplifying 6v + 2(10 + 8v) = 9(x + -2) 6v + (10 * 2 + 8v * 2) = 9(x + -2) 6v + (20 + 16v) = 9(x + -2) Reorder the terms: 20 + 6v + 16v = 9(x + -2) Combine like terms: 6v + 16v = 22v 20 + 22v = 9(x + -2) Reorder the terms: 20 + 22v = 9(-2 + x) 20 + 22v = (-2 * 9 + x * 9) 20 + 22v = (-18 + 9x) Solving 20 + 22v = -18 + 9x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 22v = -18 + -20 + 9x Combine like terms: 20 + -20 = 0 0 + 22v = -18 + -20 + 9x 22v = -18 + -20 + 9x Combine like terms: -18 + -20 = -38 22v = -38 + 9x Divide each side by '22'. v = -1.727272727 + 0.4090909091x Simplifying v = -1.727272727 + 0.4090909091x
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