W+6(w-1)=7(3+w)

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

Simplifying
W + 6(w + -1) = 7(3 + w)

Reorder the terms:
W + 6(-1 + w) = 7(3 + w)
W + (-1 * 6 + w * 6) = 7(3 + w)
W + (-6 + 6w) = 7(3 + w)

Reorder the terms:
-6 + W + 6w = 7(3 + w)
-6 + W + 6w = (3 * 7 + w * 7)
-6 + W + 6w = (21 + 7w)

Solving
-6 + W + 6w = 21 + 7w

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 + W + 6 + 6w = 21 + 6 + 7w

Reorder the terms:
-6 + 6 + W + 6w = 21 + 6 + 7w

Combine like terms: -6 + 6 = 0
0 + W + 6w = 21 + 6 + 7w
W + 6w = 21 + 6 + 7w

Combine like terms: 21 + 6 = 27
W + 6w = 27 + 7w

Add '-6w' to each side of the equation.
W + 6w + -6w = 27 + 7w + -6w

Combine like terms: 6w + -6w = 0
W + 0 = 27 + 7w + -6w
W = 27 + 7w + -6w

Combine like terms: 7w + -6w = 1w
W = 27 + 1w

Simplifying
W = 27 + 1w