0=-5p(-3q)+(4m)(-6n)

Solution for 0=-5p(-3q)+(4m)(-6n) equation:

Simplifying
0 = -5p(-3q) + (4m)(-6n)

Remove parenthesis around (-3q)
0 = -5p * -3q + (4m)(-6n)

Reorder the terms for easier multiplication:
0 = -5 * -3p * q + (4m)(-6n)

Multiply -5 * -3
0 = 15p * q + (4m)(-6n)

Multiply p * q
0 = 15pq + (4m)(-6n)

Remove parenthesis around (4m)
0 = 15pq + 4m(-6n)

Remove parenthesis around (-6n)
0 = 15pq + 4m * -6n

Reorder the terms for easier multiplication:
0 = 15pq + 4 * -6m * n

Multiply 4 * -6
0 = 15pq + -24m * n

Multiply m * n
0 = 15pq + -24mn

Reorder the terms:
0 = -24mn + 15pq

Solving
0 = -24mn + 15pq

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '24mn' to each side of the equation.
0 + 24mn = -24mn + 24mn + 15pq
Remove the zero:
24mn = -24mn + 24mn + 15pq

Combine like terms: -24mn + 24mn = 0
24mn = 0 + 15pq
24mn = 15pq

Divide each side by '24n'.
m = 0.625n-1pq

Simplifying
m = 0.625n-1pq