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Simplifying 6 + 3z + -3 = 7z + 12 + -3z Reorder the terms: 6 + -3 + 3z = 7z + 12 + -3z Combine like terms: 6 + -3 = 3 3 + 3z = 7z + 12 + -3z Reorder the terms: 3 + 3z = 12 + 7z + -3z Combine like terms: 7z + -3z = 4z 3 + 3z = 12 + 4z Solving 3 + 3z = 12 + 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. 3 + 3z + -4z = 12 + 4z + -4z Combine like terms: 3z + -4z = -1z 3 + -1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 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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