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Simplifying -1(v + 6) + 4(2v + -3) = 0 Reorder the terms: -1(6 + v) + 4(2v + -3) = 0 (6 * -1 + v * -1) + 4(2v + -3) = 0 (-6 + -1v) + 4(2v + -3) = 0 Reorder the terms: -6 + -1v + 4(-3 + 2v) = 0 -6 + -1v + (-3 * 4 + 2v * 4) = 0 -6 + -1v + (-12 + 8v) = 0 Reorder the terms: -6 + -12 + -1v + 8v = 0 Combine like terms: -6 + -12 = -18 -18 + -1v + 8v = 0 Combine like terms: -1v + 8v = 7v -18 + 7v = 0 Solving -18 + 7v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7v = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7v = 0 + 18 7v = 0 + 18 Combine like terms: 0 + 18 = 18 7v = 18 Divide each side by '7'. v = 2.571428571 Simplifying v = 2.571428571
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