2w+7(w+4)=37

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Solution for 2w+7(w+4)=37 equation:


Simplifying
2w + 7(w + 4) = 37

Reorder the terms:
2w + 7(4 + w) = 37
2w + (4 * 7 + w * 7) = 37
2w + (28 + 7w) = 37

Reorder the terms:
28 + 2w + 7w = 37

Combine like terms: 2w + 7w = 9w
28 + 9w = 37

Solving
28 + 9w = 37

Solving for variable 'w'.

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

Add '-28' to each side of the equation.
28 + -28 + 9w = 37 + -28

Combine like terms: 28 + -28 = 0
0 + 9w = 37 + -28
9w = 37 + -28

Combine like terms: 37 + -28 = 9
9w = 9

Divide each side by '9'.
w = 1

Simplifying
w = 1

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