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Simplifying 12z + -8 + -2z + 6 = 5z + 10 Reorder the terms: -8 + 6 + 12z + -2z = 5z + 10 Combine like terms: -8 + 6 = -2 -2 + 12z + -2z = 5z + 10 Combine like terms: 12z + -2z = 10z -2 + 10z = 5z + 10 Reorder the terms: -2 + 10z = 10 + 5z Solving -2 + 10z = 10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2 + 10z + -5z = 10 + 5z + -5z Combine like terms: 10z + -5z = 5z -2 + 5z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + 5z = 10 + 0 -2 + 5z = 10 Add '2' to each side of the equation. -2 + 2 + 5z = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 10 + 2 5z = 10 + 2 Combine like terms: 10 + 2 = 12 5z = 12 Divide each side by '5'. z = 2.4 Simplifying z = 2.4
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