2=4(w+8)-7w

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Solution for 2=4(w+8)-7w equation: 


Simplifying
2 = 4(w + 8) + -7w

Reorder the terms:
2 = 4(8 + w) + -7w
2 = (8 * 4 + w * 4) + -7w
2 = (32 + 4w) + -7w

Combine like terms: 4w + -7w = -3w
2 = 32 + -3w

Solving
2 = 32 + -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.
2 + 3w = 32 + -3w + 3w

Combine like terms: -3w + 3w = 0
2 + 3w = 32 + 0
2 + 3w = 32

Add '-2' to each side of the equation.
2 + -2 + 3w = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 3w = 32 + -2
3w = 32 + -2

Combine like terms: 32 + -2 = 30
3w = 30

Divide each side by '3'.
w = 10

Simplifying
w = 10

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