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Simplifying -5(8 + -2z) = 11z (8 * -5 + -2z * -5) = 11z (-40 + 10z) = 11z Solving -40 + 10z = 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -40 + 10z + -11z = 11z + -11z Combine like terms: 10z + -11z = -1z -40 + -1z = 11z + -11z Combine like terms: 11z + -11z = 0 -40 + -1z = 0 Add '40' to each side of the equation. -40 + 40 + -1z = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1z = 0 + 40 -1z = 0 + 40 Combine like terms: 0 + 40 = 40 -1z = 40 Divide each side by '-1'. z = -40 Simplifying z = -40
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