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