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Simplifying 7z + -9 = 8z + -2 Reorder the terms: -9 + 7z = 8z + -2 Reorder the terms: -9 + 7z = -2 + 8z Solving -9 + 7z = -2 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -9 + 7z + -8z = -2 + 8z + -8z Combine like terms: 7z + -8z = -1z -9 + -1z = -2 + 8z + -8z Combine like terms: 8z + -8z = 0 -9 + -1z = -2 + 0 -9 + -1z = -2 Add '9' to each side of the equation. -9 + 9 + -1z = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -2 + 9 -1z = -2 + 9 Combine like terms: -2 + 9 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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