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Simplifying 8 + -5(4 + -3z) = 2(4 + -1z) + -8z 8 + (4 * -5 + -3z * -5) = 2(4 + -1z) + -8z 8 + (-20 + 15z) = 2(4 + -1z) + -8z Combine like terms: 8 + -20 = -12 -12 + 15z = 2(4 + -1z) + -8z -12 + 15z = (4 * 2 + -1z * 2) + -8z -12 + 15z = (8 + -2z) + -8z Combine like terms: -2z + -8z = -10z -12 + 15z = 8 + -10z Solving -12 + 15z = 8 + -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. -12 + 15z + 10z = 8 + -10z + 10z Combine like terms: 15z + 10z = 25z -12 + 25z = 8 + -10z + 10z Combine like terms: -10z + 10z = 0 -12 + 25z = 8 + 0 -12 + 25z = 8 Add '12' to each side of the equation. -12 + 12 + 25z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 25z = 8 + 12 25z = 8 + 12 Combine like terms: 8 + 12 = 20 25z = 20 Divide each side by '25'. z = 0.8 Simplifying z = 0.8
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