2w-9+3(4w+1)=-2(w+1)

Solution for 2w-9+3(4w+1)=-2(w+1) equation:

Simplifying
2w + -9 + 3(4w + 1) = -2(w + 1)

Reorder the terms:
2w + -9 + 3(1 + 4w) = -2(w + 1)
2w + -9 + (1 * 3 + 4w * 3) = -2(w + 1)
2w + -9 + (3 + 12w) = -2(w + 1)

Reorder the terms:
-9 + 3 + 2w + 12w = -2(w + 1)

Combine like terms: -9 + 3 = -6
-6 + 2w + 12w = -2(w + 1)

Combine like terms: 2w + 12w = 14w
-6 + 14w = -2(w + 1)

Reorder the terms:
-6 + 14w = -2(1 + w)
-6 + 14w = (1 * -2 + w * -2)
-6 + 14w = (-2 + -2w)

Solving
-6 + 14w = -2 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-6 + 14w + 2w = -2 + -2w + 2w

Combine like terms: 14w + 2w = 16w
-6 + 16w = -2 + -2w + 2w

Combine like terms: -2w + 2w = 0
-6 + 16w = -2 + 0
-6 + 16w = -2

Add '6' to each side of the equation.
-6 + 6 + 16w = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 16w = -2 + 6
16w = -2 + 6

Combine like terms: -2 + 6 = 4
16w = 4

Divide each side by '16'.
w = 0.25

Simplifying
w = 0.25