7w+2=3(w-2)

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Solution for 7w+2=3(w-2) equation:


Simplifying
7w + 2 = 3(w + -2)

Reorder the terms:
2 + 7w = 3(w + -2)

Reorder the terms:
2 + 7w = 3(-2 + w)
2 + 7w = (-2 * 3 + w * 3)
2 + 7w = (-6 + 3w)

Solving
2 + 7w = -6 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
2 + 7w + -3w = -6 + 3w + -3w

Combine like terms: 7w + -3w = 4w
2 + 4w = -6 + 3w + -3w

Combine like terms: 3w + -3w = 0
2 + 4w = -6 + 0
2 + 4w = -6

Add '-2' to each side of the equation.
2 + -2 + 4w = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 4w = -6 + -2
4w = -6 + -2

Combine like terms: -6 + -2 = -8
4w = -8

Divide each side by '4'.
w = -2

Simplifying
w = -2

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