2w+4=-3(w-2)

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Solution for 2w+4=-3(w-2) equation:


Simplifying
2w + 4 = -3(w + -2)

Reorder the terms:
4 + 2w = -3(w + -2)

Reorder the terms:
4 + 2w = -3(-2 + w)
4 + 2w = (-2 * -3 + w * -3)
4 + 2w = (6 + -3w)

Solving
4 + 2w = 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.
4 + 2w + 3w = 6 + -3w + 3w

Combine like terms: 2w + 3w = 5w
4 + 5w = 6 + -3w + 3w

Combine like terms: -3w + 3w = 0
4 + 5w = 6 + 0
4 + 5w = 6

Add '-4' to each side of the equation.
4 + -4 + 5w = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 5w = 6 + -4
5w = 6 + -4

Combine like terms: 6 + -4 = 2
5w = 2

Divide each side by '5'.
w = 0.4

Simplifying
w = 0.4

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