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Simplifying -7.3 + -6z + -8.2 + -3z = -8z + -5.7 Reorder the terms: -7.3 + -8.2 + -6z + -3z = -8z + -5.7 Combine like terms: -7.3 + -8.2 = -15.5 -15.5 + -6z + -3z = -8z + -5.7 Combine like terms: -6z + -3z = -9z -15.5 + -9z = -8z + -5.7 Reorder the terms: -15.5 + -9z = -5.7 + -8z Solving -15.5 + -9z = -5.7 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -15.5 + -9z + 8z = -5.7 + -8z + 8z Combine like terms: -9z + 8z = -1z -15.5 + -1z = -5.7 + -8z + 8z Combine like terms: -8z + 8z = 0 -15.5 + -1z = -5.7 + 0 -15.5 + -1z = -5.7 Add '15.5' to each side of the equation. -15.5 + 15.5 + -1z = -5.7 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + -1z = -5.7 + 15.5 -1z = -5.7 + 15.5 Combine like terms: -5.7 + 15.5 = 9.8 -1z = 9.8 Divide each side by '-1'. z = -9.8 Simplifying z = -9.8
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