7w+16=2(w+3)

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Solution for 7w+16=2(w+3) equation:


Simplifying
7w + 16 = 2(w + 3)

Reorder the terms:
16 + 7w = 2(w + 3)

Reorder the terms:
16 + 7w = 2(3 + w)
16 + 7w = (3 * 2 + w * 2)
16 + 7w = (6 + 2w)

Solving
16 + 7w = 6 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
16 + 7w + -2w = 6 + 2w + -2w

Combine like terms: 7w + -2w = 5w
16 + 5w = 6 + 2w + -2w

Combine like terms: 2w + -2w = 0
16 + 5w = 6 + 0
16 + 5w = 6

Add '-16' to each side of the equation.
16 + -16 + 5w = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 5w = 6 + -16
5w = 6 + -16

Combine like terms: 6 + -16 = -10
5w = -10

Divide each side by '5'.
w = -2

Simplifying
w = -2

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