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Simplifying 9 + 4(5z + 8) = 5(z + 1) + 8 Reorder the terms: 9 + 4(8 + 5z) = 5(z + 1) + 8 9 + (8 * 4 + 5z * 4) = 5(z + 1) + 8 9 + (32 + 20z) = 5(z + 1) + 8 Combine like terms: 9 + 32 = 41 41 + 20z = 5(z + 1) + 8 Reorder the terms: 41 + 20z = 5(1 + z) + 8 41 + 20z = (1 * 5 + z * 5) + 8 41 + 20z = (5 + 5z) + 8 Reorder the terms: 41 + 20z = 5 + 8 + 5z Combine like terms: 5 + 8 = 13 41 + 20z = 13 + 5z Solving 41 + 20z = 13 + 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. 41 + 20z + -5z = 13 + 5z + -5z Combine like terms: 20z + -5z = 15z 41 + 15z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 41 + 15z = 13 + 0 41 + 15z = 13 Add '-41' to each side of the equation. 41 + -41 + 15z = 13 + -41 Combine like terms: 41 + -41 = 0 0 + 15z = 13 + -41 15z = 13 + -41 Combine like terms: 13 + -41 = -28 15z = -28 Divide each side by '15'. z = -1.866666667 Simplifying z = -1.866666667
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