100 POINTS!!! Please solve this question step by step and explain each step for 100 points.

[tex]2\dfrac 29 = -\dfrac 45 m \\\\\implies 2+ \dfrac 29 =- \dfrac 45 m \\\\\implies \dfrac{20}9 = -\dfrac 45 m \\\\\implies 5(20) = (-4m)9\\\\\implies 100 = -36m\\\\\implies m = -\dfrac{100}{36} \\\\\implies m = -\dfrac{25}9\\\\\implies m=-2\dfrac 79[/tex]
Therefore, the answer is m = -25/9.
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]