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Simplifying 9(z + 6) = 4(z + -4) Reorder the terms: 9(6 + z) = 4(z + -4) (6 * 9 + z * 9) = 4(z + -4) (54 + 9z) = 4(z + -4) Reorder the terms: 54 + 9z = 4(-4 + z) 54 + 9z = (-4 * 4 + z * 4) 54 + 9z = (-16 + 4z) Solving 54 + 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. 54 + 9z + -4z = -16 + 4z + -4z Combine like terms: 9z + -4z = 5z 54 + 5z = -16 + 4z + -4z Combine like terms: 4z + -4z = 0 54 + 5z = -16 + 0 54 + 5z = -16 Add '-54' to each side of the equation. 54 + -54 + 5z = -16 + -54 Combine like terms: 54 + -54 = 0 0 + 5z = -16 + -54 5z = -16 + -54 Combine like terms: -16 + -54 = -70 5z = -70 Divide each side by '5'. z = -14 Simplifying z = -14
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