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Simplifying 5z + 1 = -4z Reorder the terms: 1 + 5z = -4z Solving 1 + 5z = -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 = -4z + 4z Combine like terms: 5z + 4z = 9z 1 + 9z = -4z + 4z Combine like terms: -4z + 4z = 0 1 + 9z = 0 Add '-1' to each side of the equation. 1 + -1 + 9z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9z = 0 + -1 9z = 0 + -1 Combine like terms: 0 + -1 = -1 9z = -1 Divide each side by '9'. z = -0.1111111111 Simplifying z = -0.1111111111
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