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Simplifying 5(z + 4) + 6z = 97 Reorder the terms: 5(4 + z) + 6z = 97 (4 * 5 + z * 5) + 6z = 97 (20 + 5z) + 6z = 97 Combine like terms: 5z + 6z = 11z 20 + 11z = 97 Solving 20 + 11z = 97 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11z = 97 + -20 Combine like terms: 20 + -20 = 0 0 + 11z = 97 + -20 11z = 97 + -20 Combine like terms: 97 + -20 = 77 11z = 77 Divide each side by '11'. z = 7 Simplifying z = 7
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