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Simplifying (5z + 8) + (4z + 20) = 90 Reorder the terms: (8 + 5z) + (4z + 20) = 90 Remove parenthesis around (8 + 5z) 8 + 5z + (4z + 20) = 90 Reorder the terms: 8 + 5z + (20 + 4z) = 90 Remove parenthesis around (20 + 4z) 8 + 5z + 20 + 4z = 90 Reorder the terms: 8 + 20 + 5z + 4z = 90 Combine like terms: 8 + 20 = 28 28 + 5z + 4z = 90 Combine like terms: 5z + 4z = 9z 28 + 9z = 90 Solving 28 + 9z = 90 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 9z = 90 + -28 Combine like terms: 28 + -28 = 0 0 + 9z = 90 + -28 9z = 90 + -28 Combine like terms: 90 + -28 = 62 9z = 62 Divide each side by '9'. z = 6.888888889 Simplifying z = 6.888888889
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