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Simplifying 5(3v + -2) + -2(6v + 3) = 0 Reorder the terms: 5(-2 + 3v) + -2(6v + 3) = 0 (-2 * 5 + 3v * 5) + -2(6v + 3) = 0 (-10 + 15v) + -2(6v + 3) = 0 Reorder the terms: -10 + 15v + -2(3 + 6v) = 0 -10 + 15v + (3 * -2 + 6v * -2) = 0 -10 + 15v + (-6 + -12v) = 0 Reorder the terms: -10 + -6 + 15v + -12v = 0 Combine like terms: -10 + -6 = -16 -16 + 15v + -12v = 0 Combine like terms: 15v + -12v = 3v -16 + 3v = 0 Solving -16 + 3v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3v = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3v = 0 + 16 3v = 0 + 16 Combine like terms: 0 + 16 = 16 3v = 16 Divide each side by '3'. v = 5.333333333 Simplifying v = 5.333333333
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