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Simplifying -1 + -5z = 4z + 7 Reorder the terms: -1 + -5z = 7 + 4z Solving -1 + -5z = 7 + 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. -1 + -5z + -4z = 7 + 4z + -4z Combine like terms: -5z + -4z = -9z -1 + -9z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 -1 + -9z = 7 + 0 -1 + -9z = 7 Add '1' to each side of the equation. -1 + 1 + -9z = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -9z = 7 + 1 -9z = 7 + 1 Combine like terms: 7 + 1 = 8 -9z = 8 Divide each side by '-9'. z = -0.8888888889 Simplifying z = -0.8888888889
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