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Simplifying 7 + -6.5 = 7z + -11.1 + -6z Combine like terms: 7 + -6.5 = 0.5 0.5 = 7z + -11.1 + -6z Reorder the terms: 0.5 = -11.1 + 7z + -6z Combine like terms: 7z + -6z = 1z 0.5 = -11.1 + 1z Solving 0.5 = -11.1 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 0.5 + -1z = -11.1 + 1z + -1z Combine like terms: 1z + -1z = 0 0.5 + -1z = -11.1 + 0 0.5 + -1z = -11.1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1z = -11.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1z = -11.1 + -0.5 -1z = -11.1 + -0.5 Combine like terms: -11.1 + -0.5 = -11.6 -1z = -11.6 Divide each side by '-1'. z = 11.6 Simplifying z = 11.6
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