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Simplifying -7(-1.6z + -14.9) = 9.7z + -5.7z + 8.54 Reorder the terms: -7(-14.9 + -1.6z) = 9.7z + -5.7z + 8.54 (-14.9 * -7 + -1.6z * -7) = 9.7z + -5.7z + 8.54 (104.3 + 11.2z) = 9.7z + -5.7z + 8.54 Reorder the terms: 104.3 + 11.2z = 8.54 + 9.7z + -5.7z Combine like terms: 9.7z + -5.7z = 4z 104.3 + 11.2z = 8.54 + 4z Solving 104.3 + 11.2z = 8.54 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 104.3 + 11.2z + -4z = 8.54 + 4z + -4z Combine like terms: 11.2z + -4z = 7.2z 104.3 + 7.2z = 8.54 + 4z + -4z Combine like terms: 4z + -4z = 0 104.3 + 7.2z = 8.54 + 0 104.3 + 7.2z = 8.54 Add '-104.3' to each side of the equation. 104.3 + -104.3 + 7.2z = 8.54 + -104.3 Combine like terms: 104.3 + -104.3 = 0.0 0.0 + 7.2z = 8.54 + -104.3 7.2z = 8.54 + -104.3 Combine like terms: 8.54 + -104.3 = -95.76 7.2z = -95.76 Divide each side by '7.2'. z = -13.3 Simplifying z = -13.3
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