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Simplifying -4z + 8 = -27 + z Reorder the terms: 8 + -4z = -27 + z Solving 8 + -4z = -27 + 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. 8 + -4z + -1z = -27 + z + -1z Combine like terms: -4z + -1z = -5z 8 + -5z = -27 + z + -1z Combine like terms: z + -1z = 0 8 + -5z = -27 + 0 8 + -5z = -27 Add '-8' to each side of the equation. 8 + -8 + -5z = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -5z = -27 + -8 -5z = -27 + -8 Combine like terms: -27 + -8 = -35 -5z = -35 Divide each side by '-5'. z = 7 Simplifying z = 7
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