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Simplifying 7 + 2z + -4 = 7z + 12 + -4z Reorder the terms: 7 + -4 + 2z = 7z + 12 + -4z Combine like terms: 7 + -4 = 3 3 + 2z = 7z + 12 + -4z Reorder the terms: 3 + 2z = 12 + 7z + -4z Combine like terms: 7z + -4z = 3z 3 + 2z = 12 + 3z Solving 3 + 2z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 2z + -3z = 12 + 3z + -3z Combine like terms: 2z + -3z = -1z 3 + -1z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + -1z = 12 + 0 3 + -1z = 12 Add '-3' to each side of the equation. 3 + -3 + -1z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 12 + -3 -1z = 12 + -3 Combine like terms: 12 + -3 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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