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Simplifying 27 + -11z = z + -33 Reorder the terms: 27 + -11z = -33 + z Solving 27 + -11z = -33 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 27 + -11z + -1z = -33 + z + -1z Combine like terms: -11z + -1z = -12z 27 + -12z = -33 + z + -1z Combine like terms: z + -1z = 0 27 + -12z = -33 + 0 27 + -12z = -33 Add '-27' to each side of the equation. 27 + -27 + -12z = -33 + -27 Combine like terms: 27 + -27 = 0 0 + -12z = -33 + -27 -12z = -33 + -27 Combine like terms: -33 + -27 = -60 -12z = -60 Divide each side by '-12'. z = 5 Simplifying z = 5
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