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Simplifying 7z + -27 = -51 + z Reorder the terms: -27 + 7z = -51 + z Solving -27 + 7z = -51 + 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 + 7z + -1z = -51 + z + -1z Combine like terms: 7z + -1z = 6z -27 + 6z = -51 + z + -1z Combine like terms: z + -1z = 0 -27 + 6z = -51 + 0 -27 + 6z = -51 Add '27' to each side of the equation. -27 + 27 + 6z = -51 + 27 Combine like terms: -27 + 27 = 0 0 + 6z = -51 + 27 6z = -51 + 27 Combine like terms: -51 + 27 = -24 6z = -24 Divide each side by '6'. z = -4 Simplifying z = -4
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