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Simplifying 5 + -8z = 12z + 27 Reorder the terms: 5 + -8z = 27 + 12z Solving 5 + -8z = 27 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 5 + -8z + -12z = 27 + 12z + -12z Combine like terms: -8z + -12z = -20z 5 + -20z = 27 + 12z + -12z Combine like terms: 12z + -12z = 0 5 + -20z = 27 + 0 5 + -20z = 27 Add '-5' to each side of the equation. 5 + -5 + -20z = 27 + -5 Combine like terms: 5 + -5 = 0 0 + -20z = 27 + -5 -20z = 27 + -5 Combine like terms: 27 + -5 = 22 -20z = 22 Divide each side by '-20'. z = -1.1 Simplifying z = -1.1
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