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Simplifying -22 = 3(3z + 11) + -14z Reorder the terms: -22 = 3(11 + 3z) + -14z -22 = (11 * 3 + 3z * 3) + -14z -22 = (33 + 9z) + -14z Combine like terms: 9z + -14z = -5z -22 = 33 + -5z Solving -22 = 33 + -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. -22 + 5z = 33 + -5z + 5z Combine like terms: -5z + 5z = 0 -22 + 5z = 33 + 0 -22 + 5z = 33 Add '22' to each side of the equation. -22 + 22 + 5z = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 5z = 33 + 22 5z = 33 + 22 Combine like terms: 33 + 22 = 55 5z = 55 Divide each side by '5'. z = 11 Simplifying z = 11
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