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Simplifying -2.3 + -6z + -5.3 + -3z = -8z + 5.7 Reorder the terms: -2.3 + -5.3 + -6z + -3z = -8z + 5.7 Combine like terms: -2.3 + -5.3 = -7.6 -7.6 + -6z + -3z = -8z + 5.7 Combine like terms: -6z + -3z = -9z -7.6 + -9z = -8z + 5.7 Reorder the terms: -7.6 + -9z = 5.7 + -8z Solving -7.6 + -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. -7.6 + -9z + 8z = 5.7 + -8z + 8z Combine like terms: -9z + 8z = -1z -7.6 + -1z = 5.7 + -8z + 8z Combine like terms: -8z + 8z = 0 -7.6 + -1z = 5.7 + 0 -7.6 + -1z = 5.7 Add '7.6' to each side of the equation. -7.6 + 7.6 + -1z = 5.7 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + -1z = 5.7 + 7.6 -1z = 5.7 + 7.6 Combine like terms: 5.7 + 7.6 = 13.3 -1z = 13.3 Divide each side by '-1'. z = -13.3 Simplifying z = -13.3
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