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Simplifying -9(z + 3) = 2 + -8z Reorder the terms: -9(3 + z) = 2 + -8z (3 * -9 + z * -9) = 2 + -8z (-27 + -9z) = 2 + -8z Solving -27 + -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. -27 + -9z + 8z = 2 + -8z + 8z Combine like terms: -9z + 8z = -1z -27 + -1z = 2 + -8z + 8z Combine like terms: -8z + 8z = 0 -27 + -1z = 2 + 0 -27 + -1z = 2 Add '27' to each side of the equation. -27 + 27 + -1z = 2 + 27 Combine like terms: -27 + 27 = 0 0 + -1z = 2 + 27 -1z = 2 + 27 Combine like terms: 2 + 27 = 29 -1z = 29 Divide each side by '-1'. z = -29 Simplifying z = -29
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