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Simplifying -6.9z + 5.44 + 15.9z = 7.2z + -12.74 Reorder the terms: 5.44 + -6.9z + 15.9z = 7.2z + -12.74 Combine like terms: -6.9z + 15.9z = 9z 5.44 + 9z = 7.2z + -12.74 Reorder the terms: 5.44 + 9z = -12.74 + 7.2z Solving 5.44 + 9z = -12.74 + 7.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7.2z' to each side of the equation. 5.44 + 9z + -7.2z = -12.74 + 7.2z + -7.2z Combine like terms: 9z + -7.2z = 1.8z 5.44 + 1.8z = -12.74 + 7.2z + -7.2z Combine like terms: 7.2z + -7.2z = 0.0 5.44 + 1.8z = -12.74 + 0.0 5.44 + 1.8z = -12.74 Add '-5.44' to each side of the equation. 5.44 + -5.44 + 1.8z = -12.74 + -5.44 Combine like terms: 5.44 + -5.44 = 0.00 0.00 + 1.8z = -12.74 + -5.44 1.8z = -12.74 + -5.44 Combine like terms: -12.74 + -5.44 = -18.18 1.8z = -18.18 Divide each side by '1.8'. z = -10.1 Simplifying z = -10.1
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