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Simplifying -5.3 + -3z + -8.1 + -1z = -3z + -2.3 Reorder the terms: -5.3 + -8.1 + -3z + -1z = -3z + -2.3 Combine like terms: -5.3 + -8.1 = -13.4 -13.4 + -3z + -1z = -3z + -2.3 Combine like terms: -3z + -1z = -4z -13.4 + -4z = -3z + -2.3 Reorder the terms: -13.4 + -4z = -2.3 + -3z Solving -13.4 + -4z = -2.3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -13.4 + -4z + 3z = -2.3 + -3z + 3z Combine like terms: -4z + 3z = -1z -13.4 + -1z = -2.3 + -3z + 3z Combine like terms: -3z + 3z = 0 -13.4 + -1z = -2.3 + 0 -13.4 + -1z = -2.3 Add '13.4' to each side of the equation. -13.4 + 13.4 + -1z = -2.3 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + -1z = -2.3 + 13.4 -1z = -2.3 + 13.4 Combine like terms: -2.3 + 13.4 = 11.1 -1z = 11.1 Divide each side by '-1'. z = -11.1 Simplifying z = -11.1
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