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Simplifying 5(v + -3) + 4(2v + -1) = 0 Reorder the terms: 5(-3 + v) + 4(2v + -1) = 0 (-3 * 5 + v * 5) + 4(2v + -1) = 0 (-15 + 5v) + 4(2v + -1) = 0 Reorder the terms: -15 + 5v + 4(-1 + 2v) = 0 -15 + 5v + (-1 * 4 + 2v * 4) = 0 -15 + 5v + (-4 + 8v) = 0 Reorder the terms: -15 + -4 + 5v + 8v = 0 Combine like terms: -15 + -4 = -19 -19 + 5v + 8v = 0 Combine like terms: 5v + 8v = 13v -19 + 13v = 0 Solving -19 + 13v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13v = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 13v = 0 + 19 13v = 0 + 19 Combine like terms: 0 + 19 = 19 13v = 19 Divide each side by '13'. v = 1.461538462 Simplifying v = 1.461538462
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