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Simplifying 2(2z + 1) + -7 = 15 Reorder the terms: 2(1 + 2z) + -7 = 15 (1 * 2 + 2z * 2) + -7 = 15 (2 + 4z) + -7 = 15 Reorder the terms: 2 + -7 + 4z = 15 Combine like terms: 2 + -7 = -5 -5 + 4z = 15 Solving -5 + 4z = 15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4z = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = 15 + 5 4z = 15 + 5 Combine like terms: 15 + 5 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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