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Simplifying 6z + 21 = -3z + 21 + -3z Reorder the terms: 21 + 6z = -3z + 21 + -3z Reorder the terms: 21 + 6z = 21 + -3z + -3z Combine like terms: -3z + -3z = -6z 21 + 6z = 21 + -6z Add '-21' to each side of the equation. 21 + -21 + 6z = 21 + -21 + -6z Combine like terms: 21 + -21 = 0 0 + 6z = 21 + -21 + -6z 6z = 21 + -21 + -6z Combine like terms: 21 + -21 = 0 6z = 0 + -6z 6z = -6z Solving 6z = -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 6z + 6z = -6z + 6z Combine like terms: 6z + 6z = 12z 12z = -6z + 6z Combine like terms: -6z + 6z = 0 12z = 0 Divide each side by '12'. z = 0 Simplifying z = 0
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