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Simplifying 14z + -22 = 3(3z + 11) Reorder the terms: -22 + 14z = 3(3z + 11) Reorder the terms: -22 + 14z = 3(11 + 3z) -22 + 14z = (11 * 3 + 3z * 3) -22 + 14z = (33 + 9z) Solving -22 + 14z = 33 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -22 + 14z + -9z = 33 + 9z + -9z Combine like terms: 14z + -9z = 5z -22 + 5z = 33 + 9z + -9z Combine like terms: 9z + -9z = 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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