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Simplifying -3(z + 9) = 1 + -2z Reorder the terms: -3(9 + z) = 1 + -2z (9 * -3 + z * -3) = 1 + -2z (-27 + -3z) = 1 + -2z Solving -27 + -3z = 1 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -27 + -3z + 2z = 1 + -2z + 2z Combine like terms: -3z + 2z = -1z -27 + -1z = 1 + -2z + 2z Combine like terms: -2z + 2z = 0 -27 + -1z = 1 + 0 -27 + -1z = 1 Add '27' to each side of the equation. -27 + 27 + -1z = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -1z = 1 + 27 -1z = 1 + 27 Combine like terms: 1 + 27 = 28 -1z = 28 Divide each side by '-1'. z = -28 Simplifying z = -28
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