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Simplifying 96 = 4z + 3 + 5z + 4z + 3 + 5z Reorder the terms: 96 = 3 + 3 + 4z + 5z + 4z + 5z Combine like terms: 3 + 3 = 6 96 = 6 + 4z + 5z + 4z + 5z Combine like terms: 4z + 5z = 9z 96 = 6 + 9z + 4z + 5z Combine like terms: 9z + 4z = 13z 96 = 6 + 13z + 5z Combine like terms: 13z + 5z = 18z 96 = 6 + 18z Solving 96 = 6 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 96 + -18z = 6 + 18z + -18z Combine like terms: 18z + -18z = 0 96 + -18z = 6 + 0 96 + -18z = 6 Add '-96' to each side of the equation. 96 + -96 + -18z = 6 + -96 Combine like terms: 96 + -96 = 0 0 + -18z = 6 + -96 -18z = 6 + -96 Combine like terms: 6 + -96 = -90 -18z = -90 Divide each side by '-18'. z = 5 Simplifying z = 5
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