3w+5(w-8)=2(16+w)

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Solution for 3w+5(w-8)=2(16+w) equation:


Simplifying
3w + 5(w + -8) = 2(16 + w)

Reorder the terms:
3w + 5(-8 + w) = 2(16 + w)
3w + (-8 * 5 + w * 5) = 2(16 + w)
3w + (-40 + 5w) = 2(16 + w)

Reorder the terms:
-40 + 3w + 5w = 2(16 + w)

Combine like terms: 3w + 5w = 8w
-40 + 8w = 2(16 + w)
-40 + 8w = (16 * 2 + w * 2)
-40 + 8w = (32 + 2w)

Solving
-40 + 8w = 32 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-40 + 8w + -2w = 32 + 2w + -2w

Combine like terms: 8w + -2w = 6w
-40 + 6w = 32 + 2w + -2w

Combine like terms: 2w + -2w = 0
-40 + 6w = 32 + 0
-40 + 6w = 32

Add '40' to each side of the equation.
-40 + 40 + 6w = 32 + 40

Combine like terms: -40 + 40 = 0
0 + 6w = 32 + 40
6w = 32 + 40

Combine like terms: 32 + 40 = 72
6w = 72

Divide each side by '6'.
w = 12

Simplifying
w = 12

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