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Simplifying -2z + -4(10 + -4z) = -2 -2z + (10 * -4 + -4z * -4) = -2 -2z + (-40 + 16z) = -2 Reorder the terms: -40 + -2z + 16z = -2 Combine like terms: -2z + 16z = 14z -40 + 14z = -2 Solving -40 + 14z = -2 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 + 14z = -2 + 40 Combine like terms: -40 + 40 = 0 0 + 14z = -2 + 40 14z = -2 + 40 Combine like terms: -2 + 40 = 38 14z = 38 Divide each side by '14'. z = 2.714285714 Simplifying z = 2.714285714
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