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Simplifying 12z + -3 + -2z + 4 = 2z + 2 Reorder the terms: -3 + 4 + 12z + -2z = 2z + 2 Combine like terms: -3 + 4 = 1 1 + 12z + -2z = 2z + 2 Combine like terms: 12z + -2z = 10z 1 + 10z = 2z + 2 Reorder the terms: 1 + 10z = 2 + 2z Solving 1 + 10z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 10z + -2z = 2 + 2z + -2z Combine like terms: 10z + -2z = 8z 1 + 8z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 8z = 2 + 0 1 + 8z = 2 Add '-1' to each side of the equation. 1 + -1 + 8z = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 8z = 2 + -1 8z = 2 + -1 Combine like terms: 2 + -1 = 1 8z = 1 Divide each side by '8'. z = 0.125 Simplifying z = 0.125
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