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Simplifying 4 + 1 = 4z + -9z Combine like terms: 4 + 1 = 5 5 = 4z + -9z Combine like terms: 4z + -9z = -5z 5 = -5z Solving 5 = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 5 + 5z = -5z + 5z Combine like terms: -5z + 5z = 0 5 + 5z = 0 Add '-5' to each side of the equation. 5 + -5 + 5z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5z = 0 + -5 5z = 0 + -5 Combine like terms: 0 + -5 = -5 5z = -5 Divide each side by '5'. z = -1 Simplifying z = -1
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