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Simplifying 30 + -8z = 6(3z + 4) Reorder the terms: 30 + -8z = 6(4 + 3z) 30 + -8z = (4 * 6 + 3z * 6) 30 + -8z = (24 + 18z) Solving 30 + -8z = 24 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 30 + -8z + -18z = 24 + 18z + -18z Combine like terms: -8z + -18z = -26z 30 + -26z = 24 + 18z + -18z Combine like terms: 18z + -18z = 0 30 + -26z = 24 + 0 30 + -26z = 24 Add '-30' to each side of the equation. 30 + -30 + -26z = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -26z = 24 + -30 -26z = 24 + -30 Combine like terms: 24 + -30 = -6 -26z = -6 Divide each side by '-26'. z = 0.2307692308 Simplifying z = 0.2307692308
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