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Simplifying 2z = 8(z + -5) Reorder the terms: 2z = 8(-5 + z) 2z = (-5 * 8 + z * 8) 2z = (-40 + 8z) Solving 2z = -40 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 2z + -8z = -40 + 8z + -8z Combine like terms: 2z + -8z = -6z -6z = -40 + 8z + -8z Combine like terms: 8z + -8z = 0 -6z = -40 + 0 -6z = -40 Divide each side by '-6'. z = 6.666666667 Simplifying z = 6.666666667
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