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Simplifying -3(9 + 6z) = z (9 * -3 + 6z * -3) = z (-27 + -18z) = z Solving -27 + -18z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -27 + -18z + -1z = z + -1z Combine like terms: -18z + -1z = -19z -27 + -19z = z + -1z Combine like terms: z + -1z = 0 -27 + -19z = 0 Add '27' to each side of the equation. -27 + 27 + -19z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -19z = 0 + 27 -19z = 0 + 27 Combine like terms: 0 + 27 = 27 -19z = 27 Divide each side by '-19'. z = -1.421052632 Simplifying z = -1.421052632
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