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Simplifying 0 = 5z + -4 + -7 + -8z + 9 + 8z + -1z Reorder the terms: 0 = -4 + -7 + 9 + 5z + -8z + 8z + -1z Combine like terms: -4 + -7 = -11 0 = -11 + 9 + 5z + -8z + 8z + -1z Combine like terms: -11 + 9 = -2 0 = -2 + 5z + -8z + 8z + -1z Combine like terms: 5z + -8z = -3z 0 = -2 + -3z + 8z + -1z Combine like terms: -3z + 8z = 5z 0 = -2 + 5z + -1z Combine like terms: 5z + -1z = 4z 0 = -2 + 4z Solving 0 = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 0 + -4z = -2 + 4z + -4z Remove the zero: -4z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 -4z = -2 + 0 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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