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Simplifying -2(-5 + -1v) + 4(6 + -1v) = 18 (-5 * -2 + -1v * -2) + 4(6 + -1v) = 18 (10 + 2v) + 4(6 + -1v) = 18 10 + 2v + (6 * 4 + -1v * 4) = 18 10 + 2v + (24 + -4v) = 18 Reorder the terms: 10 + 24 + 2v + -4v = 18 Combine like terms: 10 + 24 = 34 34 + 2v + -4v = 18 Combine like terms: 2v + -4v = -2v 34 + -2v = 18 Solving 34 + -2v = 18 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -2v = 18 + -34 Combine like terms: 34 + -34 = 0 0 + -2v = 18 + -34 -2v = 18 + -34 Combine like terms: 18 + -34 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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