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Simplifying 20 + 4(8z + 20) = -20 + 19z + 5z Reorder the terms: 20 + 4(20 + 8z) = -20 + 19z + 5z 20 + (20 * 4 + 8z * 4) = -20 + 19z + 5z 20 + (80 + 32z) = -20 + 19z + 5z Combine like terms: 20 + 80 = 100 100 + 32z = -20 + 19z + 5z Combine like terms: 19z + 5z = 24z 100 + 32z = -20 + 24z Solving 100 + 32z = -20 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 100 + 32z + -24z = -20 + 24z + -24z Combine like terms: 32z + -24z = 8z 100 + 8z = -20 + 24z + -24z Combine like terms: 24z + -24z = 0 100 + 8z = -20 + 0 100 + 8z = -20 Add '-100' to each side of the equation. 100 + -100 + 8z = -20 + -100 Combine like terms: 100 + -100 = 0 0 + 8z = -20 + -100 8z = -20 + -100 Combine like terms: -20 + -100 = -120 8z = -120 Divide each side by '8'. z = -15 Simplifying z = -15
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