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Simplifying 6 + 2z + -1 = 6z + 5 + -3z Reorder the terms: 6 + -1 + 2z = 6z + 5 + -3z Combine like terms: 6 + -1 = 5 5 + 2z = 6z + 5 + -3z Reorder the terms: 5 + 2z = 5 + 6z + -3z Combine like terms: 6z + -3z = 3z 5 + 2z = 5 + 3z Add '-5' to each side of the equation. 5 + -5 + 2z = 5 + -5 + 3z Combine like terms: 5 + -5 = 0 0 + 2z = 5 + -5 + 3z 2z = 5 + -5 + 3z Combine like terms: 5 + -5 = 0 2z = 0 + 3z 2z = 3z Solving 2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z -1z = 3z + -3z Combine like terms: 3z + -3z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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