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Simplifying 0.5z + 7 = 16 + -0.6z Reorder the terms: 7 + 0.5z = 16 + -0.6z Solving 7 + 0.5z = 16 + -0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.6z' to each side of the equation. 7 + 0.5z + 0.6z = 16 + -0.6z + 0.6z Combine like terms: 0.5z + 0.6z = 1.1z 7 + 1.1z = 16 + -0.6z + 0.6z Combine like terms: -0.6z + 0.6z = 0.0 7 + 1.1z = 16 + 0.0 7 + 1.1z = 16 Add '-7' to each side of the equation. 7 + -7 + 1.1z = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1.1z = 16 + -7 1.1z = 16 + -7 Combine like terms: 16 + -7 = 9 1.1z = 9 Divide each side by '1.1'. z = 8.181818182 Simplifying z = 8.181818182
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