Which expression has a negative value? 7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30

As a mutually exclusive question (only one of these four can have the negative value), the other three would be default have non-negative values (either positive or 0).

Solving 7+3(-4)(2) requires remembering order of operations, which the acronym P.E.M.D.A.S. is useful for (Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) - between Multiplication and Division, it depends on the order from left to right, the same is true for Addition and Subtraction.

7 + 3(-4)(2) becomes 7 + (-12)(2), which is 7 + (-24). Adding a negative number to a number is the same as subtraction, so 7 + (-24) becomes 7 - 24, which is -17. -17 is less than 0.

For the second problem, -2[12/(-3)] becomes -2(-4), which is +8

For the third problem, (15-7)-(9/3) is 8 - 3, which is +5

For the fourth problem, -5(7+(-14))-30 becomes -5(-7) - 30, which becomes 35 - 30. This equals +5