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Simplifying 12z + 14 + -10z = 21 + -2z + -1 Reorder the terms: 14 + 12z + -10z = 21 + -2z + -1 Combine like terms: 12z + -10z = 2z 14 + 2z = 21 + -2z + -1 Reorder the terms: 14 + 2z = 21 + -1 + -2z Combine like terms: 21 + -1 = 20 14 + 2z = 20 + -2z Solving 14 + 2z = 20 + -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. 14 + 2z + 2z = 20 + -2z + 2z Combine like terms: 2z + 2z = 4z 14 + 4z = 20 + -2z + 2z Combine like terms: -2z + 2z = 0 14 + 4z = 20 + 0 14 + 4z = 20 Add '-14' to each side of the equation. 14 + -14 + 4z = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 4z = 20 + -14 4z = 20 + -14 Combine like terms: 20 + -14 = 6 4z = 6 Divide each side by '4'. z = 1.5 Simplifying z = 1.5
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