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Simplifying 18.83 + -6.7z + 18.25 = -10.5z + -18.02 Reorder the terms: 18.83 + 18.25 + -6.7z = -10.5z + -18.02 Combine like terms: 18.83 + 18.25 = 37.08 37.08 + -6.7z = -10.5z + -18.02 Reorder the terms: 37.08 + -6.7z = -18.02 + -10.5z Solving 37.08 + -6.7z = -18.02 + -10.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10.5z' to each side of the equation. 37.08 + -6.7z + 10.5z = -18.02 + -10.5z + 10.5z Combine like terms: -6.7z + 10.5z = 3.8z 37.08 + 3.8z = -18.02 + -10.5z + 10.5z Combine like terms: -10.5z + 10.5z = 0.0 37.08 + 3.8z = -18.02 + 0.0 37.08 + 3.8z = -18.02 Add '-37.08' to each side of the equation. 37.08 + -37.08 + 3.8z = -18.02 + -37.08 Combine like terms: 37.08 + -37.08 = 0.00 0.00 + 3.8z = -18.02 + -37.08 3.8z = -18.02 + -37.08 Combine like terms: -18.02 + -37.08 = -55.1 3.8z = -55.1 Divide each side by '3.8'. z = -14.5 Simplifying z = -14.5
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