9w+6=4(w+9)

Solution for 9w+6=4(w+9) equation:

Simplifying
9w + 6 = 4(w + 9)

Reorder the terms:
6 + 9w = 4(w + 9)

Reorder the terms:
6 + 9w = 4(9 + w)
6 + 9w = (9 * 4 + w * 4)
6 + 9w = (36 + 4w)

Solving
6 + 9w = 36 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
6 + 9w + -4w = 36 + 4w + -4w

Combine like terms: 9w + -4w = 5w
6 + 5w = 36 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + 5w = 36 + 0
6 + 5w = 36

Add '-6' to each side of the equation.
6 + -6 + 5w = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 5w = 36 + -6
5w = 36 + -6

Combine like terms: 36 + -6 = 30
5w = 30

Divide each side by '5'.
w = 6

Simplifying
w = 6