7w+46=4(w+4)

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Solution for 7w+46=4(w+4) equation:


Simplifying
7w + 46 = 4(w + 4)

Reorder the terms:
46 + 7w = 4(w + 4)

Reorder the terms:
46 + 7w = 4(4 + w)
46 + 7w = (4 * 4 + w * 4)
46 + 7w = (16 + 4w)

Solving
46 + 7w = 16 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
46 + 7w + -4w = 16 + 4w + -4w

Combine like terms: 7w + -4w = 3w
46 + 3w = 16 + 4w + -4w

Combine like terms: 4w + -4w = 0
46 + 3w = 16 + 0
46 + 3w = 16

Add '-46' to each side of the equation.
46 + -46 + 3w = 16 + -46

Combine like terms: 46 + -46 = 0
0 + 3w = 16 + -46
3w = 16 + -46

Combine like terms: 16 + -46 = -30
3w = -30

Divide each side by '3'.
w = -10

Simplifying
w = -10

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