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Simplifying 9(z + 4) = 4(z + 4) Reorder the terms: 9(4 + z) = 4(z + 4) (4 * 9 + z * 9) = 4(z + 4) (36 + 9z) = 4(z + 4) Reorder the terms: 36 + 9z = 4(4 + z) 36 + 9z = (4 * 4 + z * 4) 36 + 9z = (16 + 4z) Solving 36 + 9z = 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. 36 + 9z + -4z = 16 + 4z + -4z Combine like terms: 9z + -4z = 5z 36 + 5z = 16 + 4z + -4z Combine like terms: 4z + -4z = 0 36 + 5z = 16 + 0 36 + 5z = 16 Add '-36' to each side of the equation. 36 + -36 + 5z = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 5z = 16 + -36 5z = 16 + -36 Combine like terms: 16 + -36 = -20 5z = -20 Divide each side by '5'. z = -4 Simplifying z = -4
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