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Simplifying 6(2z + 9) = -33 + -8z Reorder the terms: 6(9 + 2z) = -33 + -8z (9 * 6 + 2z * 6) = -33 + -8z (54 + 12z) = -33 + -8z Solving 54 + 12z = -33 + -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. 54 + 12z + 8z = -33 + -8z + 8z Combine like terms: 12z + 8z = 20z 54 + 20z = -33 + -8z + 8z Combine like terms: -8z + 8z = 0 54 + 20z = -33 + 0 54 + 20z = -33 Add '-54' to each side of the equation. 54 + -54 + 20z = -33 + -54 Combine like terms: 54 + -54 = 0 0 + 20z = -33 + -54 20z = -33 + -54 Combine like terms: -33 + -54 = -87 20z = -87 Divide each side by '20'. z = -4.35 Simplifying z = -4.35
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