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Simplifying 5z + 3(3z + -8) = 12 + 8z Reorder the terms: 5z + 3(-8 + 3z) = 12 + 8z 5z + (-8 * 3 + 3z * 3) = 12 + 8z 5z + (-24 + 9z) = 12 + 8z Reorder the terms: -24 + 5z + 9z = 12 + 8z Combine like terms: 5z + 9z = 14z -24 + 14z = 12 + 8z Solving -24 + 14z = 12 + 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. -24 + 14z + -8z = 12 + 8z + -8z Combine like terms: 14z + -8z = 6z -24 + 6z = 12 + 8z + -8z Combine like terms: 8z + -8z = 0 -24 + 6z = 12 + 0 -24 + 6z = 12 Add '24' to each side of the equation. -24 + 24 + 6z = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6z = 12 + 24 6z = 12 + 24 Combine like terms: 12 + 24 = 36 6z = 36 Divide each side by '6'. z = 6 Simplifying z = 6
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