If 0.139 + 0.75 + 2.105 - (1.001) x 1.1 = 2 - k, then the value of k is

In an expression that mixes addition, subtraction, and multiplication without brackets dictating otherwise, the standard order of operations (BODMAS/PEMDAS) requires multiplication to be carried out before addition or subtraction, working left to right through the remaining terms.

1. Compute the multiplication term first: 1.001 × 1.1 = 1.1011.

2. Add the three addition terms on the left side of the equation: 0.139 + 0.75 + 2.105 = 2.994.

3. Subtract the multiplication result from this sum: 2.994 − 1.1011 = 1.8929.

4. Set this equal to the right-hand side and solve for k: 1.8929 = 2 − k, so k = 2 − 1.8929.

5. Simplify the subtraction to get the value of k: k = 0.1071.

As an independent check, substitute k = 0.1071 back into the right-hand side: 2 − 0.1071 = 1.8929, which matches the left-hand side computed above.