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Simplifying 40 + -41z = 41z + -76 Reorder the terms: 40 + -41z = -76 + 41z Solving 40 + -41z = -76 + 41z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-41z' to each side of the equation. 40 + -41z + -41z = -76 + 41z + -41z Combine like terms: -41z + -41z = -82z 40 + -82z = -76 + 41z + -41z Combine like terms: 41z + -41z = 0 40 + -82z = -76 + 0 40 + -82z = -76 Add '-40' to each side of the equation. 40 + -40 + -82z = -76 + -40 Combine like terms: 40 + -40 = 0 0 + -82z = -76 + -40 -82z = -76 + -40 Combine like terms: -76 + -40 = -116 -82z = -116 Divide each side by '-82'. z = 1.414634146 Simplifying z = 1.414634146
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