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Simplifying -6.1z + 1.1 = -12.4 + -1.6z Reorder the terms: 1.1 + -6.1z = -12.4 + -1.6z Solving 1.1 + -6.1z = -12.4 + -1.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.6z' to each side of the equation. 1.1 + -6.1z + 1.6z = -12.4 + -1.6z + 1.6z Combine like terms: -6.1z + 1.6z = -4.5z 1.1 + -4.5z = -12.4 + -1.6z + 1.6z Combine like terms: -1.6z + 1.6z = 0.0 1.1 + -4.5z = -12.4 + 0.0 1.1 + -4.5z = -12.4 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -4.5z = -12.4 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -4.5z = -12.4 + -1.1 -4.5z = -12.4 + -1.1 Combine like terms: -12.4 + -1.1 = -13.5 -4.5z = -13.5 Divide each side by '-4.5'. z = 3 Simplifying z = 3
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