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Simplifying 7(z + 1) + -5z = 13 Reorder the terms: 7(1 + z) + -5z = 13 (1 * 7 + z * 7) + -5z = 13 (7 + 7z) + -5z = 13 Combine like terms: 7z + -5z = 2z 7 + 2z = 13 Solving 7 + 2z = 13 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 + 2z = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = 13 + -7 2z = 13 + -7 Combine like terms: 13 + -7 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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