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Simplifying 2.25 + -3z = 0.375 + -0.75z Solving 2.25 + -3z = 0.375 + -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. 2.25 + -3z + 0.75z = 0.375 + -0.75z + 0.75z Combine like terms: -3z + 0.75z = -2.25z 2.25 + -2.25z = 0.375 + -0.75z + 0.75z Combine like terms: -0.75z + 0.75z = 0.00 2.25 + -2.25z = 0.375 + 0.00 2.25 + -2.25z = 0.375 Add '-2.25' to each side of the equation. 2.25 + -2.25 + -2.25z = 0.375 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -2.25z = 0.375 + -2.25 -2.25z = 0.375 + -2.25 Combine like terms: 0.375 + -2.25 = -1.875 -2.25z = -1.875 Divide each side by '-2.25'. z = 0.8333333333 Simplifying z = 0.8333333333
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