Question

solve the linear equation for m.
if no solution exists, enter no solution. if the equation has infinite solutions,
enter all real numbers.
2(-3m + 5) = -3(-m - 7) - 2
show your work here.
m =

Explanation:

Step1: Expand both sides

Left side: $2(-3m + 5)= -6m + 10$
Right side: $-3(-m - 7)-2 = 3m + 21 - 2 = 3m + 19$

Step2: Set up equation

$-6m + 10 = 3m + 19$

Step3: Move terms with m to left

$-6m - 3m = 19 - 10$
$-9m = 9$

Step4: Solve for m

$m = \frac{9}{-9} = -1$

Answer:

$m = -1$