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Simplifying 6(z + 4) = -16 + -4z Reorder the terms: 6(4 + z) = -16 + -4z (4 * 6 + z * 6) = -16 + -4z (24 + 6z) = -16 + -4z Solving 24 + 6z = -16 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 24 + 6z + 4z = -16 + -4z + 4z Combine like terms: 6z + 4z = 10z 24 + 10z = -16 + -4z + 4z Combine like terms: -4z + 4z = 0 24 + 10z = -16 + 0 24 + 10z = -16 Add '-24' to each side of the equation. 24 + -24 + 10z = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 10z = -16 + -24 10z = -16 + -24 Combine like terms: -16 + -24 = -40 10z = -40 Divide each side by '10'. z = -4 Simplifying z = -4
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