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