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Simplifying 4z + 20 = 5z + 9 Reorder the terms: 20 + 4z = 5z + 9 Reorder the terms: 20 + 4z = 9 + 5z Solving 20 + 4z = 9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 20 + 4z + -5z = 9 + 5z + -5z Combine like terms: 4z + -5z = -1z 20 + -1z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 20 + -1z = 9 + 0 20 + -1z = 9 Add '-20' to each side of the equation. 20 + -20 + -1z = 9 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 9 + -20 -1z = 9 + -20 Combine like terms: 9 + -20 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11
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