4w+7(w+7)=-6

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Solution for 4w+7(w+7)=-6 equation:


Simplifying
4w + 7(w + 7) = -6

Reorder the terms:
4w + 7(7 + w) = -6
4w + (7 * 7 + w * 7) = -6
4w + (49 + 7w) = -6

Reorder the terms:
49 + 4w + 7w = -6

Combine like terms: 4w + 7w = 11w
49 + 11w = -6

Solving
49 + 11w = -6

Solving for variable 'w'.

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

Add '-49' to each side of the equation.
49 + -49 + 11w = -6 + -49

Combine like terms: 49 + -49 = 0
0 + 11w = -6 + -49
11w = -6 + -49

Combine like terms: -6 + -49 = -55
11w = -55

Divide each side by '11'.
w = -5

Simplifying
w = -5

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