6=-8w+5(w+6)

Solution for 6=-8w+5(w+6) equation:

Simplifying
6 = -8w + 5(w + 6)

Reorder the terms:
6 = -8w + 5(6 + w)
6 = -8w + (6 * 5 + w * 5)
6 = -8w + (30 + 5w)

Reorder the terms:
6 = 30 + -8w + 5w

Combine like terms: -8w + 5w = -3w
6 = 30 + -3w

Solving
6 = 30 + -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.
6 + 3w = 30 + -3w + 3w

Combine like terms: -3w + 3w = 0
6 + 3w = 30 + 0
6 + 3w = 30

Add '-6' to each side of the equation.
6 + -6 + 3w = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 3w = 30 + -6
3w = 30 + -6

Combine like terms: 30 + -6 = 24
3w = 24

Divide each side by '3'.
w = 8

Simplifying
w = 8