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Simplifying 8z + 3 = 21 + -4z Reorder the terms: 3 + 8z = 21 + -4z Solving 3 + 8z = 21 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3 + 8z + 4z = 21 + -4z + 4z Combine like terms: 8z + 4z = 12z 3 + 12z = 21 + -4z + 4z Combine like terms: -4z + 4z = 0 3 + 12z = 21 + 0 3 + 12z = 21 Add '-3' to each side of the equation. 3 + -3 + 12z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 12z = 21 + -3 12z = 21 + -3 Combine like terms: 21 + -3 = 18 12z = 18 Divide each side by '12'. z = 1.5 Simplifying z = 1.5
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