4(2+w)=3(6+w)

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Solution for 4(2+w)=3(6+w) equation: 


Simplifying
4(2 + w) = 3(6 + w)
(2 * 4 + w * 4) = 3(6 + w)
(8 + 4w) = 3(6 + w)
8 + 4w = (6 * 3 + w * 3)
8 + 4w = (18 + 3w)

Solving
8 + 4w = 18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
8 + 4w + -3w = 18 + 3w + -3w

Combine like terms: 4w + -3w = 1w
8 + 1w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
8 + 1w = 18 + 0
8 + 1w = 18

Add '-8' to each side of the equation.
8 + -8 + 1w = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 1w = 18 + -8
1w = 18 + -8

Combine like terms: 18 + -8 = 10
1w = 10

Divide each side by '1'.
w = 10

Simplifying
w = 10

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