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Simplifying 6z + 5(4z + -8) = 12 Reorder the terms: 6z + 5(-8 + 4z) = 12 6z + (-8 * 5 + 4z * 5) = 12 6z + (-40 + 20z) = 12 Reorder the terms: -40 + 6z + 20z = 12 Combine like terms: 6z + 20z = 26z -40 + 26z = 12 Solving -40 + 26z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 26z = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 26z = 12 + 40 26z = 12 + 40 Combine like terms: 12 + 40 = 52 26z = 52 Divide each side by '26'. z = 2 Simplifying z = 2
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