6(w-1)=3(8+7d)

Solution for 6(w-1)=3(8+7d) equation:

Simplifying
6(w + -1) = 3(8 + 7d)

Reorder the terms:
6(-1 + w) = 3(8 + 7d)
(-1 * 6 + w * 6) = 3(8 + 7d)
(-6 + 6w) = 3(8 + 7d)
-6 + 6w = (8 * 3 + 7d * 3)
-6 + 6w = (24 + 21d)

Solving
-6 + 6w = 24 + 21d

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 + 6 + 6w = 24 + 6 + 21d

Combine like terms: -6 + 6 = 0
0 + 6w = 24 + 6 + 21d
6w = 24 + 6 + 21d

Combine like terms: 24 + 6 = 30
6w = 30 + 21d

Divide each side by '6'.
w = 5 + 3.5d

Simplifying
w = 5 + 3.5d