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Simplifying 3(2z + 2) + -8 = 52 Reorder the terms: 3(2 + 2z) + -8 = 52 (2 * 3 + 2z * 3) + -8 = 52 (6 + 6z) + -8 = 52 Reorder the terms: 6 + -8 + 6z = 52 Combine like terms: 6 + -8 = -2 -2 + 6z = 52 Solving -2 + 6z = 52 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6z = 52 + 2 Combine like terms: -2 + 2 = 0 0 + 6z = 52 + 2 6z = 52 + 2 Combine like terms: 52 + 2 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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