2=5(w+4)-7w

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Solution for 2=5(w+4)-7w equation:


Simplifying
2 = 5(w + 4) + -7w

Reorder the terms:
2 = 5(4 + w) + -7w
2 = (4 * 5 + w * 5) + -7w
2 = (20 + 5w) + -7w

Combine like terms: 5w + -7w = -2w
2 = 20 + -2w

Solving
2 = 20 + -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.
2 + 2w = 20 + -2w + 2w

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

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

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

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

Divide each side by '2'.
w = 9

Simplifying
w = 9

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