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Simplifying 4(-2z + 5) = 5(2z + 4) Reorder the terms: 4(5 + -2z) = 5(2z + 4) (5 * 4 + -2z * 4) = 5(2z + 4) (20 + -8z) = 5(2z + 4) Reorder the terms: 20 + -8z = 5(4 + 2z) 20 + -8z = (4 * 5 + 2z * 5) 20 + -8z = (20 + 10z) Add '-20' to each side of the equation. 20 + -20 + -8z = 20 + -20 + 10z Combine like terms: 20 + -20 = 0 0 + -8z = 20 + -20 + 10z -8z = 20 + -20 + 10z Combine like terms: 20 + -20 = 0 -8z = 0 + 10z -8z = 10z Solving -8z = 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. -8z + -10z = 10z + -10z Combine like terms: -8z + -10z = -18z -18z = 10z + -10z Combine like terms: 10z + -10z = 0 -18z = 0 Divide each side by '-18'. z = 0 Simplifying z = 0
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