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Simplifying 4z + 12 = 3z + 4 Reorder the terms: 12 + 4z = 3z + 4 Reorder the terms: 12 + 4z = 4 + 3z Solving 12 + 4z = 4 + 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. 12 + 4z + -3z = 4 + 3z + -3z Combine like terms: 4z + -3z = 1z 12 + 1z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + 1z = 4 + 0 12 + 1z = 4 Add '-12' to each side of the equation. 12 + -12 + 1z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 4 + -12 1z = 4 + -12 Combine like terms: 4 + -12 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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