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Simplifying 5z + 4 = 9z + -21 Reorder the terms: 4 + 5z = 9z + -21 Reorder the terms: 4 + 5z = -21 + 9z Solving 4 + 5z = -21 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 4 + 5z + -9z = -21 + 9z + -9z Combine like terms: 5z + -9z = -4z 4 + -4z = -21 + 9z + -9z Combine like terms: 9z + -9z = 0 4 + -4z = -21 + 0 4 + -4z = -21 Add '-4' to each side of the equation. 4 + -4 + -4z = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -4z = -21 + -4 -4z = -21 + -4 Combine like terms: -21 + -4 = -25 -4z = -25 Divide each side by '-4'. z = 6.25 Simplifying z = 6.25
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