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Simplifying 12z + 4z + -12 = 3z + 4 Reorder the terms: -12 + 12z + 4z = 3z + 4 Combine like terms: 12z + 4z = 16z -12 + 16z = 3z + 4 Reorder the terms: -12 + 16z = 4 + 3z Solving -12 + 16z = 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 + 16z + -3z = 4 + 3z + -3z Combine like terms: 16z + -3z = 13z -12 + 13z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 13z = 4 + 0 -12 + 13z = 4 Add '12' to each side of the equation. -12 + 12 + 13z = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 13z = 4 + 12 13z = 4 + 12 Combine like terms: 4 + 12 = 16 13z = 16 Divide each side by '13'. z = 1.230769231 Simplifying z = 1.230769231
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