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Simplifying 6z + 5 = 8z + -12 Reorder the terms: 5 + 6z = 8z + -12 Reorder the terms: 5 + 6z = -12 + 8z Solving 5 + 6z = -12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 5 + 6z + -8z = -12 + 8z + -8z Combine like terms: 6z + -8z = -2z 5 + -2z = -12 + 8z + -8z Combine like terms: 8z + -8z = 0 5 + -2z = -12 + 0 5 + -2z = -12 Add '-5' to each side of the equation. 5 + -5 + -2z = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -12 + -5 -2z = -12 + -5 Combine like terms: -12 + -5 = -17 -2z = -17 Divide each side by '-2'. z = 8.5 Simplifying z = 8.5
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