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Simplifying -6z + 3 = 3 + -1z Reorder the terms: 3 + -6z = 3 + -1z Add '-3' to each side of the equation. 3 + -3 + -6z = 3 + -3 + -1z Combine like terms: 3 + -3 = 0 0 + -6z = 3 + -3 + -1z -6z = 3 + -3 + -1z Combine like terms: 3 + -3 = 0 -6z = 0 + -1z -6z = -1z Solving -6z = -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. -6z + z = -1z + z Combine like terms: -6z + z = -5z -5z = -1z + z Combine like terms: -1z + z = 0 -5z = 0 Divide each side by '-5'. z = 0 Simplifying z = 0
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