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