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Simplifying 6z + 3 = 3 + -5z Reorder the terms: 3 + 6z = 3 + -5z Add '-3' to each side of the equation. 3 + -3 + 6z = 3 + -3 + -5z Combine like terms: 3 + -3 = 0 0 + 6z = 3 + -3 + -5z 6z = 3 + -3 + -5z Combine like terms: 3 + -3 = 0 6z = 0 + -5z 6z = -5z Solving 6z = -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. 6z + 5z = -5z + 5z Combine like terms: 6z + 5z = 11z 11z = -5z + 5z Combine like terms: -5z + 5z = 0 11z = 0 Divide each side by '11'. z = 0 Simplifying z = 0
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