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Simplifying 7z + -21 = -75 + z Reorder the terms: -21 + 7z = -75 + z Solving -21 + 7z = -75 + 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. -21 + 7z + -1z = -75 + z + -1z Combine like terms: 7z + -1z = 6z -21 + 6z = -75 + z + -1z Combine like terms: z + -1z = 0 -21 + 6z = -75 + 0 -21 + 6z = -75 Add '21' to each side of the equation. -21 + 21 + 6z = -75 + 21 Combine like terms: -21 + 21 = 0 0 + 6z = -75 + 21 6z = -75 + 21 Combine like terms: -75 + 21 = -54 6z = -54 Divide each side by '6'. z = -9 Simplifying z = -9
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