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Simplifying 1.1z + -10 = 6 + -0.5z Reorder the terms: -10 + 1.1z = 6 + -0.5z Solving -10 + 1.1z = 6 + -0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5z' to each side of the equation. -10 + 1.1z + 0.5z = 6 + -0.5z + 0.5z Combine like terms: 1.1z + 0.5z = 1.6z -10 + 1.6z = 6 + -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 -10 + 1.6z = 6 + 0.0 -10 + 1.6z = 6 Add '10' to each side of the equation. -10 + 10 + 1.6z = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1.6z = 6 + 10 1.6z = 6 + 10 Combine like terms: 6 + 10 = 16 1.6z = 16 Divide each side by '1.6'. z = 10 Simplifying z = 10
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