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Simplifying -6.1 + 5.5 = 10.3z + -9.3 + -2.1 Combine like terms: -6.1 + 5.5 = -0.6 -0.6 = 10.3z + -9.3 + -2.1 Reorder the terms: -0.6 = -9.3 + -2.1 + 10.3z Combine like terms: -9.3 + -2.1 = -11.4 -0.6 = -11.4 + 10.3z Solving -0.6 = -11.4 + 10.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10.3z' to each side of the equation. -0.6 + -10.3z = -11.4 + 10.3z + -10.3z Combine like terms: 10.3z + -10.3z = 0.0 -0.6 + -10.3z = -11.4 + 0.0 -0.6 + -10.3z = -11.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + -10.3z = -11.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -10.3z = -11.4 + 0.6 -10.3z = -11.4 + 0.6 Combine like terms: -11.4 + 0.6 = -10.8 -10.3z = -10.8 Divide each side by '-10.3'. z = 1.048543689 Simplifying z = 1.048543689
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