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Simplifying 2(4z + 2) + -7 = 53 Reorder the terms: 2(2 + 4z) + -7 = 53 (2 * 2 + 4z * 2) + -7 = 53 (4 + 8z) + -7 = 53 Reorder the terms: 4 + -7 + 8z = 53 Combine like terms: 4 + -7 = -3 -3 + 8z = 53 Solving -3 + 8z = 53 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8z = 53 + 3 Combine like terms: -3 + 3 = 0 0 + 8z = 53 + 3 8z = 53 + 3 Combine like terms: 53 + 3 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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