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Simplifying 8z + -27 = -13 + z Reorder the terms: -27 + 8z = -13 + z Solving -27 + 8z = -13 + 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 + 8z + -1z = -13 + z + -1z Combine like terms: 8z + -1z = 7z -27 + 7z = -13 + z + -1z Combine like terms: z + -1z = 0 -27 + 7z = -13 + 0 -27 + 7z = -13 Add '27' to each side of the equation. -27 + 27 + 7z = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 7z = -13 + 27 7z = -13 + 27 Combine like terms: -13 + 27 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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