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Simplifying 7z + 8(4 + 7z) = 0 7z + (4 * 8 + 7z * 8) = 0 7z + (32 + 56z) = 0 Reorder the terms: 32 + 7z + 56z = 0 Combine like terms: 7z + 56z = 63z 32 + 63z = 0 Solving 32 + 63z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 63z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 63z = 0 + -32 63z = 0 + -32 Combine like terms: 0 + -32 = -32 63z = -32 Divide each side by '63'. z = -0.5079365079 Simplifying z = -0.5079365079
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