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Simplifying 4(5z + 6) = -5z Reorder the terms: 4(6 + 5z) = -5z (6 * 4 + 5z * 4) = -5z (24 + 20z) = -5z Solving 24 + 20z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 24 + 20z + 5z = -5z + 5z Combine like terms: 20z + 5z = 25z 24 + 25z = -5z + 5z Combine like terms: -5z + 5z = 0 24 + 25z = 0 Add '-24' to each side of the equation. 24 + -24 + 25z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 25z = 0 + -24 25z = 0 + -24 Combine like terms: 0 + -24 = -24 25z = -24 Divide each side by '25'. z = -0.96 Simplifying z = -0.96
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