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Simplifying 2(4z + -9 + -11) = 166 + -46 Reorder the terms: 2(-9 + -11 + 4z) = 166 + -46 Combine like terms: -9 + -11 = -20 2(-20 + 4z) = 166 + -46 (-20 * 2 + 4z * 2) = 166 + -46 (-40 + 8z) = 166 + -46 Combine like terms: 166 + -46 = 120 -40 + 8z = 120 Solving -40 + 8z = 120 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 + 8z = 120 + 40 Combine like terms: -40 + 40 = 0 0 + 8z = 120 + 40 8z = 120 + 40 Combine like terms: 120 + 40 = 160 8z = 160 Divide each side by '8'. z = 20 Simplifying z = 20
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