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Simplifying 12 + -1z = 16 + -3z Solving 12 + -1z = 16 + -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 + -1z + 3z = 16 + -3z + 3z Combine like terms: -1z + 3z = 2z 12 + 2z = 16 + -3z + 3z Combine like terms: -3z + 3z = 0 12 + 2z = 16 + 0 12 + 2z = 16 Add '-12' to each side of the equation. 12 + -12 + 2z = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 16 + -12 2z = 16 + -12 Combine like terms: 16 + -12 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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