3(5m+9)-2(m-3)=

Solution for 3(5m+9)-2(m-3)= equation:

Simplifying
3(5m + 9) + -2(m + -3) = 0

Reorder the terms:
3(9 + 5m) + -2(m + -3) = 0
(9 * 3 + 5m * 3) + -2(m + -3) = 0
(27 + 15m) + -2(m + -3) = 0

Reorder the terms:
27 + 15m + -2(-3 + m) = 0
27 + 15m + (-3 * -2 + m * -2) = 0
27 + 15m + (6 + -2m) = 0

Reorder the terms:
27 + 6 + 15m + -2m = 0

Combine like terms: 27 + 6 = 33
33 + 15m + -2m = 0

Combine like terms: 15m + -2m = 13m
33 + 13m = 0

Solving
33 + 13m = 0

Solving for variable 'm'.

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

Add '-33' to each side of the equation.
33 + -33 + 13m = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 13m = 0 + -33
13m = 0 + -33

Combine like terms: 0 + -33 = -33
13m = -33

Divide each side by '13'.
m = -2.538461538

Simplifying
m = -2.538461538