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Simplifying 2z + 0.83 = 3z + 0.16 Reorder the terms: 0.83 + 2z = 3z + 0.16 Reorder the terms: 0.83 + 2z = 0.16 + 3z Solving 0.83 + 2z = 0.16 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 0.83 + 2z + -3z = 0.16 + 3z + -3z Combine like terms: 2z + -3z = -1z 0.83 + -1z = 0.16 + 3z + -3z Combine like terms: 3z + -3z = 0 0.83 + -1z = 0.16 + 0 0.83 + -1z = 0.16 Add '-0.83' to each side of the equation. 0.83 + -0.83 + -1z = 0.16 + -0.83 Combine like terms: 0.83 + -0.83 = 0.00 0.00 + -1z = 0.16 + -0.83 -1z = 0.16 + -0.83 Combine like terms: 0.16 + -0.83 = -0.67 -1z = -0.67 Divide each side by '-1'. z = 0.67 Simplifying z = 0.67
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