Question

Which of the following equations are equivalent to -2m-5m-8+(-7)+m -7m-8=m-4

(a) -15m=-4m -8-3m=4-m
(b) -8-7m=-4+m
(c) m-4=-7m-8 or -3m-8=-4-m
(d) -15m=-4m -8-3m=4-m and -8-7m=-4+m

Answer 1

Upon simplifying the original complex equation, we find that none of the listed options match the simplified equation -14m = 19. There might be an error in the provided options or in the simplification process.

Step-by-step explanation:

To find which equations are equivalent to the given complex equation, we need to simplify and compare each option. The original equation is:

-2m - 5m - 8 + (-7) + m - 7m - 8 = m - 4

Combining like terms on the left side gives us:

-2m - 5m + m - 7m - 8 - 7 - 8

This simplifies to:

-13m - 23

Since the right side of the equation remains m - 4, we get:

-13m - 23 = m - 4

We can then move the term with m on the right over to the left side to get:

-13m - m = -4 + 23

Which simplifies to:

-14m = 19

None of the options provided in the question are equivalent to this equation. Therefore, there seems to be an error, either in the options provided or the operations done to simplify the original equation.