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Simplifying 5(3v + -3) + -4(v + 2) = 0 Reorder the terms: 5(-3 + 3v) + -4(v + 2) = 0 (-3 * 5 + 3v * 5) + -4(v + 2) = 0 (-15 + 15v) + -4(v + 2) = 0 Reorder the terms: -15 + 15v + -4(2 + v) = 0 -15 + 15v + (2 * -4 + v * -4) = 0 -15 + 15v + (-8 + -4v) = 0 Reorder the terms: -15 + -8 + 15v + -4v = 0 Combine like terms: -15 + -8 = -23 -23 + 15v + -4v = 0 Combine like terms: 15v + -4v = 11v -23 + 11v = 0 Solving -23 + 11v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 11v = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 11v = 0 + 23 11v = 0 + 23 Combine like terms: 0 + 23 = 23 11v = 23 Divide each side by '11'. v = 2.090909091 Simplifying v = 2.090909091
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