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Simplifying 0.66(z + -0.375) = 0.75(z + 3) Reorder the terms: 0.66(-0.375 + z) = 0.75(z + 3) (-0.375 * 0.66 + z * 0.66) = 0.75(z + 3) (-0.2475 + 0.66z) = 0.75(z + 3) Reorder the terms: -0.2475 + 0.66z = 0.75(3 + z) -0.2475 + 0.66z = (3 * 0.75 + z * 0.75) -0.2475 + 0.66z = (2.25 + 0.75z) Solving -0.2475 + 0.66z = 2.25 + 0.75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.75z' to each side of the equation. -0.2475 + 0.66z + -0.75z = 2.25 + 0.75z + -0.75z Combine like terms: 0.66z + -0.75z = -0.09z -0.2475 + -0.09z = 2.25 + 0.75z + -0.75z Combine like terms: 0.75z + -0.75z = 0.00 -0.2475 + -0.09z = 2.25 + 0.00 -0.2475 + -0.09z = 2.25 Add '0.2475' to each side of the equation. -0.2475 + 0.2475 + -0.09z = 2.25 + 0.2475 Combine like terms: -0.2475 + 0.2475 = 0.0000 0.0000 + -0.09z = 2.25 + 0.2475 -0.09z = 2.25 + 0.2475 Combine like terms: 2.25 + 0.2475 = 2.4975 -0.09z = 2.4975 Divide each side by '-0.09'. z = -27.75 Simplifying z = -27.75
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