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Simplifying 3(2z + 2) + -7 = 53 Reorder the terms: 3(2 + 2z) + -7 = 53 (2 * 3 + 2z * 3) + -7 = 53 (6 + 6z) + -7 = 53 Reorder the terms: 6 + -7 + 6z = 53 Combine like terms: 6 + -7 = -1 -1 + 6z = 53 Solving -1 + 6z = 53 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6z = 53 + 1 Combine like terms: -1 + 1 = 0 0 + 6z = 53 + 1 6z = 53 + 1 Combine like terms: 53 + 1 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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