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Simplifying 0.5z + -0.03 + 0.3z = 4.77 Reorder the terms: -0.03 + 0.5z + 0.3z = 4.77 Combine like terms: 0.5z + 0.3z = 0.8z -0.03 + 0.8z = 4.77 Solving -0.03 + 0.8z = 4.77 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.03' to each side of the equation. -0.03 + 0.03 + 0.8z = 4.77 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + 0.8z = 4.77 + 0.03 0.8z = 4.77 + 0.03 Combine like terms: 4.77 + 0.03 = 4.8 0.8z = 4.8 Divide each side by '0.8'. z = 6 Simplifying z = 6
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