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Simplifying 22 = 8(5z + 9) Reorder the terms: 22 = 8(9 + 5z) 22 = (9 * 8 + 5z * 8) 22 = (72 + 40z) Solving 22 = 72 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. 22 + -40z = 72 + 40z + -40z Combine like terms: 40z + -40z = 0 22 + -40z = 72 + 0 22 + -40z = 72 Add '-22' to each side of the equation. 22 + -22 + -40z = 72 + -22 Combine like terms: 22 + -22 = 0 0 + -40z = 72 + -22 -40z = 72 + -22 Combine like terms: 72 + -22 = 50 -40z = 50 Divide each side by '-40'. z = -1.25 Simplifying z = -1.25
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