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Simplifying 7 + 4z + -4 = 7z + 9 + -2z Reorder the terms: 7 + -4 + 4z = 7z + 9 + -2z Combine like terms: 7 + -4 = 3 3 + 4z = 7z + 9 + -2z Reorder the terms: 3 + 4z = 9 + 7z + -2z Combine like terms: 7z + -2z = 5z 3 + 4z = 9 + 5z Solving 3 + 4z = 9 + 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. 3 + 4z + -5z = 9 + 5z + -5z Combine like terms: 4z + -5z = -1z 3 + -1z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + -1z = 9 + 0 3 + -1z = 9 Add '-3' to each side of the equation. 3 + -3 + -1z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 9 + -3 -1z = 9 + -3 Combine like terms: 9 + -3 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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