7(2+w)=6(4+w)

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Solution for 7(2+w)=6(4+w) equation: 


Simplifying
7(2 + w) = 6(4 + w)
(2 * 7 + w * 7) = 6(4 + w)
(14 + 7w) = 6(4 + w)
14 + 7w = (4 * 6 + w * 6)
14 + 7w = (24 + 6w)

Solving
14 + 7w = 24 + 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.
14 + 7w + -6w = 24 + 6w + -6w

Combine like terms: 7w + -6w = 1w
14 + 1w = 24 + 6w + -6w

Combine like terms: 6w + -6w = 0
14 + 1w = 24 + 0
14 + 1w = 24

Add '-14' to each side of the equation.
14 + -14 + 1w = 24 + -14

Combine like terms: 14 + -14 = 0
0 + 1w = 24 + -14
1w = 24 + -14

Combine like terms: 24 + -14 = 10
1w = 10

Divide each side by '1'.
w = 10

Simplifying
w = 10

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