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

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


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

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

Reorder the terms:
7 + 4w = -5 + 7(7 + w)
7 + 4w = -5 + (7 * 7 + w * 7)
7 + 4w = -5 + (49 + 7w)

Combine like terms: -5 + 49 = 44
7 + 4w = 44 + 7w

Solving
7 + 4w = 44 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
7 + 4w + -7w = 44 + 7w + -7w

Combine like terms: 4w + -7w = -3w
7 + -3w = 44 + 7w + -7w

Combine like terms: 7w + -7w = 0
7 + -3w = 44 + 0
7 + -3w = 44

Add '-7' to each side of the equation.
7 + -7 + -3w = 44 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 44 + -7
-3w = 44 + -7

Combine like terms: 44 + -7 = 37
-3w = 37

Divide each side by '-3'.
w = -12.33333333

Simplifying
w = -12.33333333

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