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Simplifying 6 + 4.1z = 3.1z + 4.6 Reorder the terms: 6 + 4.1z = 4.6 + 3.1z Solving 6 + 4.1z = 4.6 + 3.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.1z' to each side of the equation. 6 + 4.1z + -3.1z = 4.6 + 3.1z + -3.1z Combine like terms: 4.1z + -3.1z = 1z 6 + 1z = 4.6 + 3.1z + -3.1z Combine like terms: 3.1z + -3.1z = 0.0 6 + 1z = 4.6 + 0.0 6 + 1z = 4.6 Add '-6' to each side of the equation. 6 + -6 + 1z = 4.6 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 4.6 + -6 1z = 4.6 + -6 Combine like terms: 4.6 + -6 = -1.4 1z = -1.4 Divide each side by '1'. z = -1.4 Simplifying z = -1.4
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