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Simplifying -4z + 27 = z + 112 Reorder the terms: 27 + -4z = z + 112 Reorder the terms: 27 + -4z = 112 + z Solving 27 + -4z = 112 + 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 + -4z + -1z = 112 + z + -1z Combine like terms: -4z + -1z = -5z 27 + -5z = 112 + z + -1z Combine like terms: z + -1z = 0 27 + -5z = 112 + 0 27 + -5z = 112 Add '-27' to each side of the equation. 27 + -27 + -5z = 112 + -27 Combine like terms: 27 + -27 = 0 0 + -5z = 112 + -27 -5z = 112 + -27 Combine like terms: 112 + -27 = 85 -5z = 85 Divide each side by '-5'. z = -17 Simplifying z = -17
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