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