8w+3(3w+2)=74

Solution for 8w+3(3w+2)=74 equation:

Simplifying
8w + 3(3w + 2) = 74

Reorder the terms:
8w + 3(2 + 3w) = 74
8w + (2 * 3 + 3w * 3) = 74
8w + (6 + 9w) = 74

Reorder the terms:
6 + 8w + 9w = 74

Combine like terms: 8w + 9w = 17w
6 + 17w = 74

Solving
6 + 17w = 74

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 17w = 74 + -6

Combine like terms: 6 + -6 = 0
0 + 17w = 74 + -6
17w = 74 + -6

Combine like terms: 74 + -6 = 68
17w = 68

Divide each side by '17'.
w = 4

Simplifying
w = 4