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Simplifying -1(v + 3) + 2(4v + -5) = 0 Reorder the terms: -1(3 + v) + 2(4v + -5) = 0 (3 * -1 + v * -1) + 2(4v + -5) = 0 (-3 + -1v) + 2(4v + -5) = 0 Reorder the terms: -3 + -1v + 2(-5 + 4v) = 0 -3 + -1v + (-5 * 2 + 4v * 2) = 0 -3 + -1v + (-10 + 8v) = 0 Reorder the terms: -3 + -10 + -1v + 8v = 0 Combine like terms: -3 + -10 = -13 -13 + -1v + 8v = 0 Combine like terms: -1v + 8v = 7v -13 + 7v = 0 Solving -13 + 7v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7v = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 7v = 0 + 13 7v = 0 + 13 Combine like terms: 0 + 13 = 13 7v = 13 Divide each side by '7'. v = 1.857142857 Simplifying v = 1.857142857
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