3(m+9)-4(m+7)=19

Solution for 3(m+9)-4(m+7)=19 equation:

Simplifying
3(m + 9) + -4(m + 7) = 19

Reorder the terms:
3(9 + m) + -4(m + 7) = 19
(9 * 3 + m * 3) + -4(m + 7) = 19
(27 + 3m) + -4(m + 7) = 19

Reorder the terms:
27 + 3m + -4(7 + m) = 19
27 + 3m + (7 * -4 + m * -4) = 19
27 + 3m + (-28 + -4m) = 19

Reorder the terms:
27 + -28 + 3m + -4m = 19

Combine like terms: 27 + -28 = -1
-1 + 3m + -4m = 19

Combine like terms: 3m + -4m = -1m
-1 + -1m = 19

Solving
-1 + -1m = 19

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + -1m = 19 + 1

Combine like terms: -1 + 1 = 0
0 + -1m = 19 + 1
-1m = 19 + 1

Combine like terms: 19 + 1 = 20
-1m = 20

Divide each side by '-1'.
m = -20

Simplifying
m = -20