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Simplifying 12z + -4 + -8z + 9 = 10z + -6 + z + -12 Reorder the terms: -4 + 9 + 12z + -8z = 10z + -6 + z + -12 Combine like terms: -4 + 9 = 5 5 + 12z + -8z = 10z + -6 + z + -12 Combine like terms: 12z + -8z = 4z 5 + 4z = 10z + -6 + z + -12 Reorder the terms: 5 + 4z = -6 + -12 + 10z + z Combine like terms: -6 + -12 = -18 5 + 4z = -18 + 10z + z Combine like terms: 10z + z = 11z 5 + 4z = -18 + 11z Solving 5 + 4z = -18 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 5 + 4z + -11z = -18 + 11z + -11z Combine like terms: 4z + -11z = -7z 5 + -7z = -18 + 11z + -11z Combine like terms: 11z + -11z = 0 5 + -7z = -18 + 0 5 + -7z = -18 Add '-5' to each side of the equation. 5 + -5 + -7z = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -7z = -18 + -5 -7z = -18 + -5 Combine like terms: -18 + -5 = -23 -7z = -23 Divide each side by '-7'. z = 3.285714286 Simplifying z = 3.285714286
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