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