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Simplifying 8(2 + -7z) + -4(9z + 2) = 0 (2 * 8 + -7z * 8) + -4(9z + 2) = 0 (16 + -56z) + -4(9z + 2) = 0 Reorder the terms: 16 + -56z + -4(2 + 9z) = 0 16 + -56z + (2 * -4 + 9z * -4) = 0 16 + -56z + (-8 + -36z) = 0 Reorder the terms: 16 + -8 + -56z + -36z = 0 Combine like terms: 16 + -8 = 8 8 + -56z + -36z = 0 Combine like terms: -56z + -36z = -92z 8 + -92z = 0 Solving 8 + -92z = 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 + -92z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -92z = 0 + -8 -92z = 0 + -8 Combine like terms: 0 + -8 = -8 -92z = -8 Divide each side by '-92'. z = 0.08695652174 Simplifying z = 0.08695652174
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