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Simplifying 6z + -27 = -7 + z Reorder the terms: -27 + 6z = -7 + z Solving -27 + 6z = -7 + 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 + 6z + -1z = -7 + z + -1z Combine like terms: 6z + -1z = 5z -27 + 5z = -7 + z + -1z Combine like terms: z + -1z = 0 -27 + 5z = -7 + 0 -27 + 5z = -7 Add '27' to each side of the equation. -27 + 27 + 5z = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 5z = -7 + 27 5z = -7 + 27 Combine like terms: -7 + 27 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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