7(6+w)=6(26w)

Solution for 7(6+w)=6(26w) equation:

Simplifying
7(6 + w) = 6(26w)
(6 * 7 + w * 7) = 6(26w)
(42 + 7w) = 6(26w)

Remove parenthesis around (26w)
42 + 7w = 6 * 26w

Multiply 6 * 26
42 + 7w = 156w

Solving
42 + 7w = 156w

Solving for variable 'w'.

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

Add '-156w' to each side of the equation.
42 + 7w + -156w = 156w + -156w

Combine like terms: 7w + -156w = -149w
42 + -149w = 156w + -156w

Combine like terms: 156w + -156w = 0
42 + -149w = 0

Add '-42' to each side of the equation.
42 + -42 + -149w = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -149w = 0 + -42
-149w = 0 + -42

Combine like terms: 0 + -42 = -42
-149w = -42

Divide each side by '-149'.
w = 0.2818791946

Simplifying
w = 0.2818791946