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Simplifying 8 + 4z + -6 = 9z + 4 + -4z Reorder the terms: 8 + -6 + 4z = 9z + 4 + -4z Combine like terms: 8 + -6 = 2 2 + 4z = 9z + 4 + -4z Reorder the terms: 2 + 4z = 4 + 9z + -4z Combine like terms: 9z + -4z = 5z 2 + 4z = 4 + 5z Solving 2 + 4z = 4 + 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. 2 + 4z + -5z = 4 + 5z + -5z Combine like terms: 4z + -5z = -1z 2 + -1z = 4 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -1z = 4 + 0 2 + -1z = 4 Add '-2' to each side of the equation. 2 + -2 + -1z = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 4 + -2 -1z = 4 + -2 Combine like terms: 4 + -2 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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