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Simplifying 10z + 8z + 2 = 12z + 9z + 5 Reorder the terms: 2 + 10z + 8z = 12z + 9z + 5 Combine like terms: 10z + 8z = 18z 2 + 18z = 12z + 9z + 5 Reorder the terms: 2 + 18z = 5 + 12z + 9z Combine like terms: 12z + 9z = 21z 2 + 18z = 5 + 21z Solving 2 + 18z = 5 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 2 + 18z + -21z = 5 + 21z + -21z Combine like terms: 18z + -21z = -3z 2 + -3z = 5 + 21z + -21z Combine like terms: 21z + -21z = 0 2 + -3z = 5 + 0 2 + -3z = 5 Add '-2' to each side of the equation. 2 + -2 + -3z = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 5 + -2 -3z = 5 + -2 Combine like terms: 5 + -2 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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