7(6+w)=6(2+w)

Solution for 7(6+w)=6(2+w) equation:

Simplifying
7(6 + w) = 6(2 + w)
(6 * 7 + w * 7) = 6(2 + w)
(42 + 7w) = 6(2 + w)
42 + 7w = (2 * 6 + w * 6)
42 + 7w = (12 + 6w)

Solving
42 + 7w = 12 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
42 + 7w + -6w = 12 + 6w + -6w

Combine like terms: 7w + -6w = 1w
42 + 1w = 12 + 6w + -6w

Combine like terms: 6w + -6w = 0
42 + 1w = 12 + 0
42 + 1w = 12

Add '-42' to each side of the equation.
42 + -42 + 1w = 12 + -42

Combine like terms: 42 + -42 = 0
0 + 1w = 12 + -42
1w = 12 + -42

Combine like terms: 12 + -42 = -30
1w = -30

Divide each side by '1'.
w = -30

Simplifying
w = -30