16=2w+3(w+7)

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


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

Reorder the terms:
16 = 2w + 3(7 + w)
16 = 2w + (7 * 3 + w * 3)
16 = 2w + (21 + 3w)

Reorder the terms:
16 = 21 + 2w + 3w

Combine like terms: 2w + 3w = 5w
16 = 21 + 5w

Solving
16 = 21 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
16 + -5w = 21 + 5w + -5w

Combine like terms: 5w + -5w = 0
16 + -5w = 21 + 0
16 + -5w = 21

Add '-16' to each side of the equation.
16 + -16 + -5w = 21 + -16

Combine like terms: 16 + -16 = 0
0 + -5w = 21 + -16
-5w = 21 + -16

Combine like terms: 21 + -16 = 5
-5w = 5

Divide each side by '-5'.
w = -1

Simplifying
w = -1

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