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Simplifying 8(z + 1) = -24 Reorder the terms: 8(1 + z) = -24 (1 * 8 + z * 8) = -24 (8 + 8z) = -24 Solving 8 + 8z = -24 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8z = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 8z = -24 + -8 8z = -24 + -8 Combine like terms: -24 + -8 = -32 8z = -32 Divide each side by '8'. z = -4 Simplifying z = -4
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