-3(4m+3)+4(6m+1)=42

Solution for -3(4m+3)+4(6m+1)=42 equation:

Simplifying
-3(4m + 3) + 4(6m + 1) = 42

Reorder the terms:
-3(3 + 4m) + 4(6m + 1) = 42
(3 * -3 + 4m * -3) + 4(6m + 1) = 42
(-9 + -12m) + 4(6m + 1) = 42

Reorder the terms:
-9 + -12m + 4(1 + 6m) = 42
-9 + -12m + (1 * 4 + 6m * 4) = 42
-9 + -12m + (4 + 24m) = 42

Reorder the terms:
-9 + 4 + -12m + 24m = 42

Combine like terms: -9 + 4 = -5
-5 + -12m + 24m = 42

Combine like terms: -12m + 24m = 12m
-5 + 12m = 42

Solving
-5 + 12m = 42

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 5 + 12m = 42 + 5

Combine like terms: -5 + 5 = 0
0 + 12m = 42 + 5
12m = 42 + 5

Combine like terms: 42 + 5 = 47
12m = 47

Divide each side by '12'.
m = 3.916666667

Simplifying
m = 3.916666667