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Simplifying 3z + (0.92 + -2z) = 1.125 Remove parenthesis around (0.92 + -2z) 3z + 0.92 + -2z = 1.125 Reorder the terms: 0.92 + 3z + -2z = 1.125 Combine like terms: 3z + -2z = 1z 0.92 + 1z = 1.125 Solving 0.92 + 1z = 1.125 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.92' to each side of the equation. 0.92 + -0.92 + 1z = 1.125 + -0.92 Combine like terms: 0.92 + -0.92 = 0.00 0.00 + 1z = 1.125 + -0.92 1z = 1.125 + -0.92 Combine like terms: 1.125 + -0.92 = 0.205 1z = 0.205 Divide each side by '1'. z = 0.205 Simplifying z = 0.205
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