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Simplifying 2(2z + 1) + -9 = 17 Reorder the terms: 2(1 + 2z) + -9 = 17 (1 * 2 + 2z * 2) + -9 = 17 (2 + 4z) + -9 = 17 Reorder the terms: 2 + -9 + 4z = 17 Combine like terms: 2 + -9 = -7 -7 + 4z = 17 Solving -7 + 4z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4z = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 17 + 7 4z = 17 + 7 Combine like terms: 17 + 7 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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