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Simplifying -22 = 11(2z + 8) Reorder the terms: -22 = 11(8 + 2z) -22 = (8 * 11 + 2z * 11) -22 = (88 + 22z) Solving -22 = 88 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. -22 + -22z = 88 + 22z + -22z Combine like terms: 22z + -22z = 0 -22 + -22z = 88 + 0 -22 + -22z = 88 Add '22' to each side of the equation. -22 + 22 + -22z = 88 + 22 Combine like terms: -22 + 22 = 0 0 + -22z = 88 + 22 -22z = 88 + 22 Combine like terms: 88 + 22 = 110 -22z = 110 Divide each side by '-22'. z = -5 Simplifying z = -5
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