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Simplifying -5.82 = 3.43z + -5.82 Reorder the terms: -5.82 = -5.82 + 3.43z Add '5.82' to each side of the equation. -5.82 + 5.82 = -5.82 + 5.82 + 3.43z Combine like terms: -5.82 + 5.82 = 0.00 0.00 = -5.82 + 5.82 + 3.43z Combine like terms: -5.82 + 5.82 = 0.00 0.00 = 0.00 + 3.43z 0.00 = 3.43z Solving 0.00 = 3.43z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.43z' to each side of the equation. 0.00 + -3.43z = 3.43z + -3.43z Remove the zero: -3.43z = 3.43z + -3.43z Combine like terms: 3.43z + -3.43z = 0.00 -3.43z = 0.00 Divide each side by '-3.43'. z = 0 Simplifying z = 0
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