4m+3(m-7)=0

Solution for 4m+3(m-7)=0 equation:

Simplifying
4m + 3(m + -7) = 0

Reorder the terms:
4m + 3(-7 + m) = 0
4m + (-7 * 3 + m * 3) = 0
4m + (-21 + 3m) = 0

Reorder the terms:
-21 + 4m + 3m = 0

Combine like terms: 4m + 3m = 7m
-21 + 7m = 0

Solving
-21 + 7m = 0

Solving for variable 'm'.

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

Add '21' to each side of the equation.
-21 + 21 + 7m = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 7m = 0 + 21
7m = 0 + 21

Combine like terms: 0 + 21 = 21
7m = 21

Divide each side by '7'.
m = 3

Simplifying
m = 3