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Simplifying 6 + 3z + -5 = 9z + 4 + -5z Reorder the terms: 6 + -5 + 3z = 9z + 4 + -5z Combine like terms: 6 + -5 = 1 1 + 3z = 9z + 4 + -5z Reorder the terms: 1 + 3z = 4 + 9z + -5z Combine like terms: 9z + -5z = 4z 1 + 3z = 4 + 4z Solving 1 + 3z = 4 + 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 + 3z + -4z = 4 + 4z + -4z Combine like terms: 3z + -4z = -1z 1 + -1z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -1z = 4 + 0 1 + -1z = 4 Add '-1' to each side of the equation. 1 + -1 + -1z = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 4 + -1 -1z = 4 + -1 Combine like terms: 4 + -1 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3
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