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