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Simplifying 2.4(2.9 + -2.8v) + -2.9v = 33.896 (2.9 * 2.4 + -2.8v * 2.4) + -2.9v = 33.896 (6.96 + -6.72v) + -2.9v = 33.896 Combine like terms: -6.72v + -2.9v = -9.62v 6.96 + -9.62v = 33.896 Solving 6.96 + -9.62v = 33.896 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6.96' to each side of the equation. 6.96 + -6.96 + -9.62v = 33.896 + -6.96 Combine like terms: 6.96 + -6.96 = 0.00 0.00 + -9.62v = 33.896 + -6.96 -9.62v = 33.896 + -6.96 Combine like terms: 33.896 + -6.96 = 26.936 -9.62v = 26.936 Divide each side by '-9.62'. v = -2.8 Simplifying v = -2.8
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