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Simplifying 7z + -0.5 = 8z Reorder the terms: -0.5 + 7z = 8z Solving -0.5 + 7z = 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. -0.5 + 7z + -8z = 8z + -8z Combine like terms: 7z + -8z = -1z -0.5 + -1z = 8z + -8z Combine like terms: 8z + -8z = 0 -0.5 + -1z = 0 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1z = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1z = 0 + 0.5 -1z = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -1z = 0.5 Divide each side by '-1'. z = -0.5 Simplifying z = -0.5
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