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Solve the expression P - 1/3 + Q - 4/9.

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Final Answer:

The expression P - 1/3 + Q - 4/9 simplifies to P + Q - 14/9.

Explanation:

To solve the expression, we first combine like terms. The constants (-1/3 and -4/9) are both subtracted from P and Q respectively, resulting in a combined constant of -14/9. The variables P and Q remain unchanged during this simplification.

Combining the constants yields -14/9, which represents the combined value of subtracting 1/3 from P and 4/9 from Q. The variables P and Q are then combined with their respective coefficients, resulting in the final expression: P + Q - 14/9. This expression signifies the sum of the variables P and Q, minus the combined constant of 14/9.

Simplifying algebraic expressions involves grouping like terms and performing operations accordingly. In this case, the constants are subtracted from the variables, simplifying to a single constant term (-14/9) while the variables (P and Q) remain as they are. This stepwise simplification process leads to the final expression: P + Q - 14/9, where the variables are combined, and the constant term represents the result of the combined subtraction of fractions from P and Q.

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