6(3w+6)=2(10w+10)

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Solution for 6(3w+6)=2(10w+10) equation: 


Simplifying
6(3w + 6) = 2(10w + 10)

Reorder the terms:
6(6 + 3w) = 2(10w + 10)
(6 * 6 + 3w * 6) = 2(10w + 10)
(36 + 18w) = 2(10w + 10)

Reorder the terms:
36 + 18w = 2(10 + 10w)
36 + 18w = (10 * 2 + 10w * 2)
36 + 18w = (20 + 20w)

Solving
36 + 18w = 20 + 20w

Solving for variable 'w'.

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

Add '-20w' to each side of the equation.
36 + 18w + -20w = 20 + 20w + -20w

Combine like terms: 18w + -20w = -2w
36 + -2w = 20 + 20w + -20w

Combine like terms: 20w + -20w = 0
36 + -2w = 20 + 0
36 + -2w = 20

Add '-36' to each side of the equation.
36 + -36 + -2w = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -2w = 20 + -36
-2w = 20 + -36

Combine like terms: 20 + -36 = -16
-2w = -16

Divide each side by '-2'.
w = 8

Simplifying
w = 8

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