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Simplifying 1 + 6z = 10 + 5z Solving 1 + 6z = 10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 6z + -5z = 10 + 5z + -5z Combine like terms: 6z + -5z = 1z 1 + 1z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 1z = 10 + 0 1 + 1z = 10 Add '-1' to each side of the equation. 1 + -1 + 1z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 10 + -1 1z = 10 + -1 Combine like terms: 10 + -1 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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