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Simplifying 4(4z + 5) = 2(5z + -2) Reorder the terms: 4(5 + 4z) = 2(5z + -2) (5 * 4 + 4z * 4) = 2(5z + -2) (20 + 16z) = 2(5z + -2) Reorder the terms: 20 + 16z = 2(-2 + 5z) 20 + 16z = (-2 * 2 + 5z * 2) 20 + 16z = (-4 + 10z) Solving 20 + 16z = -4 + 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. 20 + 16z + -10z = -4 + 10z + -10z Combine like terms: 16z + -10z = 6z 20 + 6z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 20 + 6z = -4 + 0 20 + 6z = -4 Add '-20' to each side of the equation. 20 + -20 + 6z = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 6z = -4 + -20 6z = -4 + -20 Combine like terms: -4 + -20 = -24 6z = -24 Divide each side by '6'. z = -4 Simplifying z = -4
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