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

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

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

Reorder the terms:
9(-6 + w) = 4(w + w)
(-6 * 9 + w * 9) = 4(w + w)
(-54 + 9w) = 4(w + w)

Combine like terms: w + w = 2w
-54 + 9w = 4(2w)

Remove parenthesis around (2w)
-54 + 9w = 4 * 2w

Multiply 4 * 2
-54 + 9w = 8w

Solving
-54 + 9w = 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-54 + 9w + -8w = 8w + -8w

Combine like terms: 9w + -8w = 1w
-54 + 1w = 8w + -8w

Combine like terms: 8w + -8w = 0
-54 + 1w = 0

Add '54' to each side of the equation.
-54 + 54 + 1w = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 1w = 0 + 54
1w = 0 + 54

Combine like terms: 0 + 54 = 54
1w = 54

Divide each side by '1'.
w = 54

Simplifying
w = 54