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Simplifying 5z + 3(13z + -8) = 12 + 18z Reorder the terms: 5z + 3(-8 + 13z) = 12 + 18z 5z + (-8 * 3 + 13z * 3) = 12 + 18z 5z + (-24 + 39z) = 12 + 18z Reorder the terms: -24 + 5z + 39z = 12 + 18z Combine like terms: 5z + 39z = 44z -24 + 44z = 12 + 18z Solving -24 + 44z = 12 + 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. -24 + 44z + -18z = 12 + 18z + -18z Combine like terms: 44z + -18z = 26z -24 + 26z = 12 + 18z + -18z Combine like terms: 18z + -18z = 0 -24 + 26z = 12 + 0 -24 + 26z = 12 Add '24' to each side of the equation. -24 + 24 + 26z = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 26z = 12 + 24 26z = 12 + 24 Combine like terms: 12 + 24 = 36 26z = 36 Divide each side by '26'. z = 1.384615385 Simplifying z = 1.384615385
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