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Simplifying 14.8z + -4.8 = 58.4 + -1z Reorder the terms: -4.8 + 14.8z = 58.4 + -1z Solving -4.8 + 14.8z = 58.4 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -4.8 + 14.8z + z = 58.4 + -1z + z Combine like terms: 14.8z + z = 15.8z -4.8 + 15.8z = 58.4 + -1z + z Combine like terms: -1z + z = 0 -4.8 + 15.8z = 58.4 + 0 -4.8 + 15.8z = 58.4 Add '4.8' to each side of the equation. -4.8 + 4.8 + 15.8z = 58.4 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 15.8z = 58.4 + 4.8 15.8z = 58.4 + 4.8 Combine like terms: 58.4 + 4.8 = 63.2 15.8z = 63.2 Divide each side by '15.8'. z = 4 Simplifying z = 4
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