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Simplifying 30 = -5(-2 + -2z) 30 = (-2 * -5 + -2z * -5) 30 = (10 + 10z) Solving 30 = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 30 + -10z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 30 + -10z = 10 + 0 30 + -10z = 10 Add '-30' to each side of the equation. 30 + -30 + -10z = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -10z = 10 + -30 -10z = 10 + -30 Combine like terms: 10 + -30 = -20 -10z = -20 Divide each side by '-10'. z = 2 Simplifying z = 2
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