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Simplifying 3 + 6z = 3 + z Add '-3' to each side of the equation. 3 + -3 + 6z = 3 + -3 + z Combine like terms: 3 + -3 = 0 0 + 6z = 3 + -3 + z 6z = 3 + -3 + z Combine like terms: 3 + -3 = 0 6z = 0 + z 6z = z Solving 6z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6z + -1z = z + -1z Combine like terms: 6z + -1z = 5z 5z = z + -1z Combine like terms: z + -1z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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