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Simplifying -5(-3 + -2z) = -11z (-3 * -5 + -2z * -5) = -11z (15 + 10z) = -11z Solving 15 + 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. 15 + 10z + 11z = -11z + 11z Combine like terms: 10z + 11z = 21z 15 + 21z = -11z + 11z Combine like terms: -11z + 11z = 0 15 + 21z = 0 Add '-15' to each side of the equation. 15 + -15 + 21z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 21z = 0 + -15 21z = 0 + -15 Combine like terms: 0 + -15 = -15 21z = -15 Divide each side by '21'. z = -0.7142857143 Simplifying z = -0.7142857143
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