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Simplifying 8(1 + 7z) = 0 (1 * 8 + 7z * 8) = 0 (8 + 56z) = 0 Solving 8 + 56z = 0 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 + 56z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 56z = 0 + -8 56z = 0 + -8 Combine like terms: 0 + -8 = -8 56z = -8 Divide each side by '56'. z = -0.1428571429 Simplifying z = -0.1428571429
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