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Simplifying 8z + 7(4z + -2) = 166 Reorder the terms: 8z + 7(-2 + 4z) = 166 8z + (-2 * 7 + 4z * 7) = 166 8z + (-14 + 28z) = 166 Reorder the terms: -14 + 8z + 28z = 166 Combine like terms: 8z + 28z = 36z -14 + 36z = 166 Solving -14 + 36z = 166 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 36z = 166 + 14 Combine like terms: -14 + 14 = 0 0 + 36z = 166 + 14 36z = 166 + 14 Combine like terms: 166 + 14 = 180 36z = 180 Divide each side by '36'. z = 5 Simplifying z = 5
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