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Simplifying 8.4z + 19.99 = -19.04 + 6.6z + 7.71 Reorder the terms: 19.99 + 8.4z = -19.04 + 6.6z + 7.71 Reorder the terms: 19.99 + 8.4z = -19.04 + 7.71 + 6.6z Combine like terms: -19.04 + 7.71 = -11.33 19.99 + 8.4z = -11.33 + 6.6z Solving 19.99 + 8.4z = -11.33 + 6.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.6z' to each side of the equation. 19.99 + 8.4z + -6.6z = -11.33 + 6.6z + -6.6z Combine like terms: 8.4z + -6.6z = 1.8z 19.99 + 1.8z = -11.33 + 6.6z + -6.6z Combine like terms: 6.6z + -6.6z = 0.0 19.99 + 1.8z = -11.33 + 0.0 19.99 + 1.8z = -11.33 Add '-19.99' to each side of the equation. 19.99 + -19.99 + 1.8z = -11.33 + -19.99 Combine like terms: 19.99 + -19.99 = 0.00 0.00 + 1.8z = -11.33 + -19.99 1.8z = -11.33 + -19.99 Combine like terms: -11.33 + -19.99 = -31.32 1.8z = -31.32 Divide each side by '1.8'. z = -17.4 Simplifying z = -17.4
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