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