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Simplifying -9(z + 9) = -8z + -2 Reorder the terms: -9(9 + z) = -8z + -2 (9 * -9 + z * -9) = -8z + -2 (-81 + -9z) = -8z + -2 Reorder the terms: -81 + -9z = -2 + -8z Solving -81 + -9z = -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. -81 + -9z + 8z = -2 + -8z + 8z Combine like terms: -9z + 8z = -1z -81 + -1z = -2 + -8z + 8z Combine like terms: -8z + 8z = 0 -81 + -1z = -2 + 0 -81 + -1z = -2 Add '81' to each side of the equation. -81 + 81 + -1z = -2 + 81 Combine like terms: -81 + 81 = 0 0 + -1z = -2 + 81 -1z = -2 + 81 Combine like terms: -2 + 81 = 79 -1z = 79 Divide each side by '-1'. z = -79 Simplifying z = -79
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