4(w-9)=3(w+1)

Solution for 4(w-9)=3(w+1) equation:

Simplifying
4(w + -9) = 3(w + 1)

Reorder the terms:
4(-9 + w) = 3(w + 1)
(-9 * 4 + w * 4) = 3(w + 1)
(-36 + 4w) = 3(w + 1)

Reorder the terms:
-36 + 4w = 3(1 + w)
-36 + 4w = (1 * 3 + w * 3)
-36 + 4w = (3 + 3w)

Solving
-36 + 4w = 3 + 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.
-36 + 4w + -3w = 3 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-36 + 1w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
-36 + 1w = 3 + 0
-36 + 1w = 3

Add '36' to each side of the equation.
-36 + 36 + 1w = 3 + 36

Combine like terms: -36 + 36 = 0
0 + 1w = 3 + 36
1w = 3 + 36

Combine like terms: 3 + 36 = 39
1w = 39

Divide each side by '1'.
w = 39

Simplifying
w = 39