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Simplifying 0.66(z + -9) = 2(z + 11) + -2z Reorder the terms: 0.66(-9 + z) = 2(z + 11) + -2z (-9 * 0.66 + z * 0.66) = 2(z + 11) + -2z (-5.94 + 0.66z) = 2(z + 11) + -2z Reorder the terms: -5.94 + 0.66z = 2(11 + z) + -2z -5.94 + 0.66z = (11 * 2 + z * 2) + -2z -5.94 + 0.66z = (22 + 2z) + -2z Combine like terms: 2z + -2z = 0 -5.94 + 0.66z = 22 + 0 -5.94 + 0.66z = 22 Solving -5.94 + 0.66z = 22 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5.94' to each side of the equation. -5.94 + 5.94 + 0.66z = 22 + 5.94 Combine like terms: -5.94 + 5.94 = 0.00 0.00 + 0.66z = 22 + 5.94 0.66z = 22 + 5.94 Combine like terms: 22 + 5.94 = 27.94 0.66z = 27.94 Divide each side by '0.66'. z = 42.33333333 Simplifying z = 42.33333333
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