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Simplifying -8z + -12z + 5 = 5 + 3z + 6 Reorder the terms: 5 + -8z + -12z = 5 + 3z + 6 Combine like terms: -8z + -12z = -20z 5 + -20z = 5 + 3z + 6 Reorder the terms: 5 + -20z = 5 + 6 + 3z Combine like terms: 5 + 6 = 11 5 + -20z = 11 + 3z Solving 5 + -20z = 11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + -20z + -3z = 11 + 3z + -3z Combine like terms: -20z + -3z = -23z 5 + -23z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -23z = 11 + 0 5 + -23z = 11 Add '-5' to each side of the equation. 5 + -5 + -23z = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -23z = 11 + -5 -23z = 11 + -5 Combine like terms: 11 + -5 = 6 -23z = 6 Divide each side by '-23'. z = -0.2608695652 Simplifying z = -0.2608695652
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