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Simplifying 12z + -3 + -2z + 2 = 2z + 2 Reorder the terms: -3 + 2 + 12z + -2z = 2z + 2 Combine like terms: -3 + 2 = -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 = 3 8z = 3 Divide each side by '8'. z = 0.375 Simplifying z = 0.375
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