3(-3w-2)-5(6z-5w)=

Solution for 3(-3w-2)-5(6z-5w)= equation:

Simplifying
3(-3w + -2) + -5(6z + -5w) = 0

Reorder the terms:
3(-2 + -3w) + -5(6z + -5w) = 0
(-2 * 3 + -3w * 3) + -5(6z + -5w) = 0
(-6 + -9w) + -5(6z + -5w) = 0

Reorder the terms:
-6 + -9w + -5(-5w + 6z) = 0
-6 + -9w + (-5w * -5 + 6z * -5) = 0
-6 + -9w + (25w + -30z) = 0

Combine like terms: -9w + 25w = 16w
-6 + 16w + -30z = 0

Solving
-6 + 16w + -30z = 0

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 + 16w + 6 + -30z = 0 + 6

Reorder the terms:
-6 + 6 + 16w + -30z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 16w + -30z = 0 + 6
16w + -30z = 0 + 6

Combine like terms: 0 + 6 = 6
16w + -30z = 6

Add '30z' to each side of the equation.
16w + -30z + 30z = 6 + 30z

Combine like terms: -30z + 30z = 0
16w + 0 = 6 + 30z
16w = 6 + 30z

Divide each side by '16'.
w = 0.375 + 1.875z

Simplifying
w = 0.375 + 1.875z