Simplify the expression. 6 (7n - 5m) 8m

Simplifying

6 (7n + - 5m) + 8m = 0

Reorder the terms:

6 (-5m + 7n) + 8m = 0

(-5m * 6 + 7n * 6) + 8m = 0

(-30m + 42n) + 8m = 0

Reorder the terms:

-30m + 8m + 42n = 0

Combine like terms: - 30m + 8m = - 22m

-22m + 42n = 0

Solving

-22m + 42n = 0

Solving for variable 'm'.

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

Add '-42n' to each side of the equation.

-22m + 42n + - 42n = 0 + - 42n

Combine like terms: 42n + - 42n = 0

-22m + 0 = 0 + - 42n

-22m = 0 + - 42n

Remove the zero:

-22m = - 42n

Divide each side by '-22'.

m = 1.909090909n

Simplifying

m = 1.909090909n