30w-3(2w+1)=6w-3(6+w)

Solution for 30w-3(2w+1)=6w-3(6+w) equation:

Simplifying
30w + -3(2w + 1) = 6w + -3(6 + w)

Reorder the terms:
30w + -3(1 + 2w) = 6w + -3(6 + w)
30w + (1 * -3 + 2w * -3) = 6w + -3(6 + w)
30w + (-3 + -6w) = 6w + -3(6 + w)

Reorder the terms:
-3 + 30w + -6w = 6w + -3(6 + w)

Combine like terms: 30w + -6w = 24w
-3 + 24w = 6w + -3(6 + w)
-3 + 24w = 6w + (6 * -3 + w * -3)
-3 + 24w = 6w + (-18 + -3w)

Reorder the terms:
-3 + 24w = -18 + 6w + -3w

Combine like terms: 6w + -3w = 3w
-3 + 24w = -18 + 3w

Solving
-3 + 24w = -18 + 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.
-3 + 24w + -3w = -18 + 3w + -3w

Combine like terms: 24w + -3w = 21w
-3 + 21w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
-3 + 21w = -18 + 0
-3 + 21w = -18

Add '3' to each side of the equation.
-3 + 3 + 21w = -18 + 3

Combine like terms: -3 + 3 = 0
0 + 21w = -18 + 3
21w = -18 + 3

Combine like terms: -18 + 3 = -15
21w = -15

Divide each side by '21'.
w = -0.7142857143

Simplifying
w = -0.7142857143