We need to subtract color(red)(3m)3m and color(blue)(2)2 from each side of the equation. This will let us isolate the mm terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:
9m + 2 - color(red)(3m) - color(blue)(2) = 3m - 10 - color(red)(3m) - color(blue)(2)9m+2−3m−2=3m−10−3m−2
9m - color(red)(3m) + 2 - color(blue)(2) = 3m - color(red)(3m) - 10 - color(blue)(2)9m−3m+2−2=3m−3m−10−2
9m - color(red)(3m) + 0 = 0 - 10 - color(blue)(2)9m−3m+0=0−10−2
9m - color(red)(3m) = - 10 - color(blue)(2)9m−3m=−10−2
Next, we can combine like terms on each side of the equation:
(9 - 3)m = -12(9−3)m=−12
6m = -126m=−12
Now we can divide each side of the equation by color(green)(6)6 to solve for mm and keep the equation balanced:
(6m)/color(green)(6) = -12/color(green)(6)6m6=−126
(color(green)(cancel(color(black)(6)))m)/cancel(color(green)(6)) = -2
m = -2
