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Simplifying 6(7v + 2) + 3(8v + -9) = 0 Reorder the terms: 6(2 + 7v) + 3(8v + -9) = 0 (2 * 6 + 7v * 6) + 3(8v + -9) = 0 (12 + 42v) + 3(8v + -9) = 0 Reorder the terms: 12 + 42v + 3(-9 + 8v) = 0 12 + 42v + (-9 * 3 + 8v * 3) = 0 12 + 42v + (-27 + 24v) = 0 Reorder the terms: 12 + -27 + 42v + 24v = 0 Combine like terms: 12 + -27 = -15 -15 + 42v + 24v = 0 Combine like terms: 42v + 24v = 66v -15 + 66v = 0 Solving -15 + 66v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 66v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 66v = 0 + 15 66v = 0 + 15 Combine like terms: 0 + 15 = 15 66v = 15 Divide each side by '66'. v = 0.2272727273 Simplifying v = 0.2272727273
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