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Simplifying 24v + 11w + 15x + 20y + -28z = 27 Solving 24v + 11w + 15x + 20y + -28z = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11w' to each side of the equation. 24v + 11w + 15x + 20y + -11w + -28z = 27 + -11w Reorder the terms: 24v + 11w + -11w + 15x + 20y + -28z = 27 + -11w Combine like terms: 11w + -11w = 0 24v + 0 + 15x + 20y + -28z = 27 + -11w 24v + 15x + 20y + -28z = 27 + -11w Add '-15x' to each side of the equation. 24v + 15x + 20y + -15x + -28z = 27 + -11w + -15x Reorder the terms: 24v + 15x + -15x + 20y + -28z = 27 + -11w + -15x Combine like terms: 15x + -15x = 0 24v + 0 + 20y + -28z = 27 + -11w + -15x 24v + 20y + -28z = 27 + -11w + -15x Add '-20y' to each side of the equation. 24v + 20y + -20y + -28z = 27 + -11w + -15x + -20y Combine like terms: 20y + -20y = 0 24v + 0 + -28z = 27 + -11w + -15x + -20y 24v + -28z = 27 + -11w + -15x + -20y Add '28z' to each side of the equation. 24v + -28z + 28z = 27 + -11w + -15x + -20y + 28z Combine like terms: -28z + 28z = 0 24v + 0 = 27 + -11w + -15x + -20y + 28z 24v = 27 + -11w + -15x + -20y + 28z Divide each side by '24'. v = 1.125 + -0.4583333333w + -0.625x + -0.8333333333y + 1.166666667z Simplifying v = 1.125 + -0.4583333333w + -0.625x + -0.8333333333y + 1.166666667z
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