6=3(w+45)-78

Solution for 6=3(w+45)-78 equation:

Simplifying
6 = 3(w + 45) + -78

Reorder the terms:
6 = 3(45 + w) + -78
6 = (45 * 3 + w * 3) + -78
6 = (135 + 3w) + -78

Reorder the terms:
6 = 135 + -78 + 3w

Combine like terms: 135 + -78 = 57
6 = 57 + 3w

Solving
6 = 57 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
6 + -3w = 57 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -3w = 57 + 0
6 + -3w = 57

Add '-6' to each side of the equation.
6 + -6 + -3w = 57 + -6

Combine like terms: 6 + -6 = 0
0 + -3w = 57 + -6
-3w = 57 + -6

Combine like terms: 57 + -6 = 51
-3w = 51

Divide each side by '-3'.
w = -17

Simplifying
w = -17