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Simplifying -5.9 + -6z + -2.5 + -3z = -8z + 5.7 Reorder the terms: -5.9 + -2.5 + -6z + -3z = -8z + 5.7 Combine like terms: -5.9 + -2.5 = -8.4 -8.4 + -6z + -3z = -8z + 5.7 Combine like terms: -6z + -3z = -9z -8.4 + -9z = -8z + 5.7 Reorder the terms: -8.4 + -9z = 5.7 + -8z Solving -8.4 + -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. -8.4 + -9z + 8z = 5.7 + -8z + 8z Combine like terms: -9z + 8z = -1z -8.4 + -1z = 5.7 + -8z + 8z Combine like terms: -8z + 8z = 0 -8.4 + -1z = 5.7 + 0 -8.4 + -1z = 5.7 Add '8.4' to each side of the equation. -8.4 + 8.4 + -1z = 5.7 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + -1z = 5.7 + 8.4 -1z = 5.7 + 8.4 Combine like terms: 5.7 + 8.4 = 14.1 -1z = 14.1 Divide each side by '-1'. z = -14.1 Simplifying z = -14.1
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