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Simplifying 8 = 2(v + -9) + -1(-4) Reorder the terms: 8 = 2(-9 + v) + -1(-4) 8 = (-9 * 2 + v * 2) + -1(-4) 8 = (-18 + 2v) + -1(-4) Multiply -1 * -4 8 = -18 + 2v + 4 Reorder the terms: 8 = -18 + 4 + 2v Combine like terms: -18 + 4 = -14 8 = -14 + 2v Solving 8 = -14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 8 + -2v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -2v = -14 + 0 8 + -2v = -14 Add '-8' to each side of the equation. 8 + -8 + -2v = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = -14 + -8 -2v = -14 + -8 Combine like terms: -14 + -8 = -22 -2v = -22 Divide each side by '-2'. v = 11 Simplifying v = 11
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