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