3(4m+3)+4(6m+1)=43

Solution for 3(4m+3)+4(6m+1)=43 equation:

Simplifying
3(4m + 3) + 4(6m + 1) = 43

Reorder the terms:
3(3 + 4m) + 4(6m + 1) = 43
(3 * 3 + 4m * 3) + 4(6m + 1) = 43
(9 + 12m) + 4(6m + 1) = 43

Reorder the terms:
9 + 12m + 4(1 + 6m) = 43
9 + 12m + (1 * 4 + 6m * 4) = 43
9 + 12m + (4 + 24m) = 43

Reorder the terms:
9 + 4 + 12m + 24m = 43

Combine like terms: 9 + 4 = 13
13 + 12m + 24m = 43

Combine like terms: 12m + 24m = 36m
13 + 36m = 43

Solving
13 + 36m = 43

Solving for variable 'm'.

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

Add '-13' to each side of the equation.
13 + -13 + 36m = 43 + -13

Combine like terms: 13 + -13 = 0
0 + 36m = 43 + -13
36m = 43 + -13

Combine like terms: 43 + -13 = 30
36m = 30

Divide each side by '36'.
m = 0.8333333333

Simplifying
m = 0.8333333333