7w+2(w+2)=-23

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Solution for 7w+2(w+2)=-23 equation:


Simplifying
7w + 2(w + 2) = -23

Reorder the terms:
7w + 2(2 + w) = -23
7w + (2 * 2 + w * 2) = -23
7w + (4 + 2w) = -23

Reorder the terms:
4 + 7w + 2w = -23

Combine like terms: 7w + 2w = 9w
4 + 9w = -23

Solving
4 + 9w = -23

Solving for variable 'w'.

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

Add '-4' to each side of the equation.
4 + -4 + 9w = -23 + -4

Combine like terms: 4 + -4 = 0
0 + 9w = -23 + -4
9w = -23 + -4

Combine like terms: -23 + -4 = -27
9w = -27

Divide each side by '9'.
w = -3

Simplifying
w = -3

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