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Simplifying -24(4z + -1) = 3(z + 2) Reorder the terms: -24(-1 + 4z) = 3(z + 2) (-1 * -24 + 4z * -24) = 3(z + 2) (24 + -96z) = 3(z + 2) Reorder the terms: 24 + -96z = 3(2 + z) 24 + -96z = (2 * 3 + z * 3) 24 + -96z = (6 + 3z) Solving 24 + -96z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 24 + -96z + -3z = 6 + 3z + -3z Combine like terms: -96z + -3z = -99z 24 + -99z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 24 + -99z = 6 + 0 24 + -99z = 6 Add '-24' to each side of the equation. 24 + -24 + -99z = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -99z = 6 + -24 -99z = 6 + -24 Combine like terms: 6 + -24 = -18 -99z = -18 Divide each side by '-99'. z = 0.1818181818 Simplifying z = 0.1818181818
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