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Simplifying -5(10z + -20) + 20 = -20 + -18z + -20 Reorder the terms: -5(-20 + 10z) + 20 = -20 + -18z + -20 (-20 * -5 + 10z * -5) + 20 = -20 + -18z + -20 (100 + -50z) + 20 = -20 + -18z + -20 Reorder the terms: 100 + 20 + -50z = -20 + -18z + -20 Combine like terms: 100 + 20 = 120 120 + -50z = -20 + -18z + -20 Reorder the terms: 120 + -50z = -20 + -20 + -18z Combine like terms: -20 + -20 = -40 120 + -50z = -40 + -18z Solving 120 + -50z = -40 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. 120 + -50z + 18z = -40 + -18z + 18z Combine like terms: -50z + 18z = -32z 120 + -32z = -40 + -18z + 18z Combine like terms: -18z + 18z = 0 120 + -32z = -40 + 0 120 + -32z = -40 Add '-120' to each side of the equation. 120 + -120 + -32z = -40 + -120 Combine like terms: 120 + -120 = 0 0 + -32z = -40 + -120 -32z = -40 + -120 Combine like terms: -40 + -120 = -160 -32z = -160 Divide each side by '-32'. z = 5 Simplifying z = 5
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