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Simplifying 8(9z + 4) + 9 = -8z Reorder the terms: 8(4 + 9z) + 9 = -8z (4 * 8 + 9z * 8) + 9 = -8z (32 + 72z) + 9 = -8z Reorder the terms: 32 + 9 + 72z = -8z Combine like terms: 32 + 9 = 41 41 + 72z = -8z Solving 41 + 72z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 41 + 72z + 8z = -8z + 8z Combine like terms: 72z + 8z = 80z 41 + 80z = -8z + 8z Combine like terms: -8z + 8z = 0 41 + 80z = 0 Add '-41' to each side of the equation. 41 + -41 + 80z = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 80z = 0 + -41 80z = 0 + -41 Combine like terms: 0 + -41 = -41 80z = -41 Divide each side by '80'. z = -0.5125 Simplifying z = -0.5125
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