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State whether the following statement is TRUE or FALSE:

18\times[7+(-3)]=[18\times7]+[18\times(-3)]

Answer:

From the given equation,

Let us consider the Left Hand Side (LHS) first =

18 × [7 + (–3)] \\ = 18 × [7 – 3] \\ = 18 × 4 \\ = 72

Now, consider the Right Hand Side (RHS) =

[18 × 7] + [18 × (–3)] \\ = [126] + [-54] \\ = 126 – 54 \\ = 72

By comparing LHS and RHS,

72 = 72

LHS = RHS

Hence, the given equation is verified and is TRUE

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