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Simplifying 1.75z + -0.16 = 2.83 + 0.75z Reorder the terms: -0.16 + 1.75z = 2.83 + 0.75z Solving -0.16 + 1.75z = 2.83 + 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. -0.16 + 1.75z + -0.75z = 2.83 + 0.75z + -0.75z Combine like terms: 1.75z + -0.75z = 1z -0.16 + 1z = 2.83 + 0.75z + -0.75z Combine like terms: 0.75z + -0.75z = 0.00 -0.16 + 1z = 2.83 + 0.00 -0.16 + 1z = 2.83 Add '0.16' to each side of the equation. -0.16 + 0.16 + 1z = 2.83 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 1z = 2.83 + 0.16 1z = 2.83 + 0.16 Combine like terms: 2.83 + 0.16 = 2.99 1z = 2.99 Divide each side by '1'. z = 2.99 Simplifying z = 2.99
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