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Simplifying 3.21 + -14.1z + 16.67 = -16.24 + -18.3z Reorder the terms: 3.21 + 16.67 + -14.1z = -16.24 + -18.3z Combine like terms: 3.21 + 16.67 = 19.88 19.88 + -14.1z = -16.24 + -18.3z Solving 19.88 + -14.1z = -16.24 + -18.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18.3z' to each side of the equation. 19.88 + -14.1z + 18.3z = -16.24 + -18.3z + 18.3z Combine like terms: -14.1z + 18.3z = 4.2z 19.88 + 4.2z = -16.24 + -18.3z + 18.3z Combine like terms: -18.3z + 18.3z = 0.0 19.88 + 4.2z = -16.24 + 0.0 19.88 + 4.2z = -16.24 Add '-19.88' to each side of the equation. 19.88 + -19.88 + 4.2z = -16.24 + -19.88 Combine like terms: 19.88 + -19.88 = 0.00 0.00 + 4.2z = -16.24 + -19.88 4.2z = -16.24 + -19.88 Combine like terms: -16.24 + -19.88 = -36.12 4.2z = -36.12 Divide each side by '4.2'. z = -8.6 Simplifying z = -8.6
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