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Simplifying -8.53 + -5 + 19.5z = 18.1z + -19.97 Combine like terms: -8.53 + -5 = -13.53 -13.53 + 19.5z = 18.1z + -19.97 Reorder the terms: -13.53 + 19.5z = -19.97 + 18.1z Solving -13.53 + 19.5z = -19.97 + 18.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18.1z' to each side of the equation. -13.53 + 19.5z + -18.1z = -19.97 + 18.1z + -18.1z Combine like terms: 19.5z + -18.1z = 1.4z -13.53 + 1.4z = -19.97 + 18.1z + -18.1z Combine like terms: 18.1z + -18.1z = 0.0 -13.53 + 1.4z = -19.97 + 0.0 -13.53 + 1.4z = -19.97 Add '13.53' to each side of the equation. -13.53 + 13.53 + 1.4z = -19.97 + 13.53 Combine like terms: -13.53 + 13.53 = 0.00 0.00 + 1.4z = -19.97 + 13.53 1.4z = -19.97 + 13.53 Combine like terms: -19.97 + 13.53 = -6.44 1.4z = -6.44 Divide each side by '1.4'. z = -4.6 Simplifying z = -4.6
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