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Simplifying 2(7v + 9) + -8(3v + 3) = 0 Reorder the terms: 2(9 + 7v) + -8(3v + 3) = 0 (9 * 2 + 7v * 2) + -8(3v + 3) = 0 (18 + 14v) + -8(3v + 3) = 0 Reorder the terms: 18 + 14v + -8(3 + 3v) = 0 18 + 14v + (3 * -8 + 3v * -8) = 0 18 + 14v + (-24 + -24v) = 0 Reorder the terms: 18 + -24 + 14v + -24v = 0 Combine like terms: 18 + -24 = -6 -6 + 14v + -24v = 0 Combine like terms: 14v + -24v = -10v -6 + -10v = 0 Solving -6 + -10v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -10v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -10v = 0 + 6 -10v = 0 + 6 Combine like terms: 0 + 6 = 6 -10v = 6 Divide each side by '-10'. v = -0.6 Simplifying v = -0.6
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