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Simplifying 12z + -1(4z + 6) = 82 Reorder the terms: 12z + -1(6 + 4z) = 82 12z + (6 * -1 + 4z * -1) = 82 12z + (-6 + -4z) = 82 Reorder the terms: -6 + 12z + -4z = 82 Combine like terms: 12z + -4z = 8z -6 + 8z = 82 Solving -6 + 8z = 82 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8z = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 8z = 82 + 6 8z = 82 + 6 Combine like terms: 82 + 6 = 88 8z = 88 Divide each side by '8'. z = 11 Simplifying z = 11
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