6(w-1)=3(3w+5l)

Solution for 6(w-1)=3(3w+5l) equation:

Simplifying
6(w + -1) = 3(3w + 5l)

Reorder the terms:
6(-1 + w) = 3(3w + 5l)
(-1 * 6 + w * 6) = 3(3w + 5l)
(-6 + 6w) = 3(3w + 5l)

Reorder the terms:
-6 + 6w = 3(5l + 3w)
-6 + 6w = (5l * 3 + 3w * 3)
-6 + 6w = (15l + 9w)

Solving
-6 + 6w = 15l + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-6 + 6w + -9w = 15l + 9w + -9w

Combine like terms: 6w + -9w = -3w
-6 + -3w = 15l + 9w + -9w

Combine like terms: 9w + -9w = 0
-6 + -3w = 15l + 0
-6 + -3w = 15l

Add '6' to each side of the equation.
-6 + 6 + -3w = 6 + 15l

Combine like terms: -6 + 6 = 0
0 + -3w = 6 + 15l
-3w = 6 + 15l

Divide each side by '-3'.
w = -2 + -5l

Simplifying
w = -2 + -5l