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Simplifying 4z + 2(3z + -8) = 54 Reorder the terms: 4z + 2(-8 + 3z) = 54 4z + (-8 * 2 + 3z * 2) = 54 4z + (-16 + 6z) = 54 Reorder the terms: -16 + 4z + 6z = 54 Combine like terms: 4z + 6z = 10z -16 + 10z = 54 Solving -16 + 10z = 54 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 10z = 54 + 16 Combine like terms: -16 + 16 = 0 0 + 10z = 54 + 16 10z = 54 + 16 Combine like terms: 54 + 16 = 70 10z = 70 Divide each side by '10'. z = 7 Simplifying z = 7
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