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Simplifying 5z + 3 = 21 + -1z Reorder the terms: 3 + 5z = 21 + -1z Solving 3 + 5z = 21 + -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. 3 + 5z + z = 21 + -1z + z Combine like terms: 5z + z = 6z 3 + 6z = 21 + -1z + z Combine like terms: -1z + z = 0 3 + 6z = 21 + 0 3 + 6z = 21 Add '-3' to each side of the equation. 3 + -3 + 6z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 21 + -3 6z = 21 + -3 Combine like terms: 21 + -3 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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