6w=(3w+8)+(3w-24)+(4w+25)+(w+28)

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Solution for 6w=(3w+8)+(3w-24)+(4w+25)+(w+28) equation: 


Simplifying
6w = (3w + 8) + (3w + -24) + (4w + 25) + (w + 28)

Reorder the terms:
6w = (8 + 3w) + (3w + -24) + (4w + 25) + (w + 28)

Remove parenthesis around (8 + 3w)
6w = 8 + 3w + (3w + -24) + (4w + 25) + (w + 28)

Reorder the terms:
6w = 8 + 3w + (-24 + 3w) + (4w + 25) + (w + 28)

Remove parenthesis around (-24 + 3w)
6w = 8 + 3w + -24 + 3w + (4w + 25) + (w + 28)

Reorder the terms:
6w = 8 + 3w + -24 + 3w + (25 + 4w) + (w + 28)

Remove parenthesis around (25 + 4w)
6w = 8 + 3w + -24 + 3w + 25 + 4w + (w + 28)

Reorder the terms:
6w = 8 + 3w + -24 + 3w + 25 + 4w + (28 + w)

Remove parenthesis around (28 + w)
6w = 8 + 3w + -24 + 3w + 25 + 4w + 28 + w

Reorder the terms:
6w = 8 + -24 + 25 + 28 + 3w + 3w + 4w + w

Combine like terms: 8 + -24 = -16
6w = -16 + 25 + 28 + 3w + 3w + 4w + w

Combine like terms: -16 + 25 = 9
6w = 9 + 28 + 3w + 3w + 4w + w

Combine like terms: 9 + 28 = 37
6w = 37 + 3w + 3w + 4w + w

Combine like terms: 3w + 3w = 6w
6w = 37 + 6w + 4w + w

Combine like terms: 6w + 4w = 10w
6w = 37 + 10w + w

Combine like terms: 10w + w = 11w
6w = 37 + 11w

Solving
6w = 37 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
6w + -11w = 37 + 11w + -11w

Combine like terms: 6w + -11w = -5w
-5w = 37 + 11w + -11w

Combine like terms: 11w + -11w = 0
-5w = 37 + 0
-5w = 37

Divide each side by '-5'.
w = -7.4

Simplifying
w = -7.4

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