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Simplifying 12z + -14 = 10z + -7 Reorder the terms: -14 + 12z = 10z + -7 Reorder the terms: -14 + 12z = -7 + 10z Solving -14 + 12z = -7 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -14 + 12z + -10z = -7 + 10z + -10z Combine like terms: 12z + -10z = 2z -14 + 2z = -7 + 10z + -10z Combine like terms: 10z + -10z = 0 -14 + 2z = -7 + 0 -14 + 2z = -7 Add '14' to each side of the equation. -14 + 14 + 2z = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 2z = -7 + 14 2z = -7 + 14 Combine like terms: -7 + 14 = 7 2z = 7 Divide each side by '2'. z = 3.5 Simplifying z = 3.5
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