2w+16=6(w+6)

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Solution for 2w+16=6(w+6) equation:


Simplifying
2w + 16 = 6(w + 6)

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

Reorder the terms:
16 + 2w = 6(6 + w)
16 + 2w = (6 * 6 + w * 6)
16 + 2w = (36 + 6w)

Solving
16 + 2w = 36 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
16 + 2w + -6w = 36 + 6w + -6w

Combine like terms: 2w + -6w = -4w
16 + -4w = 36 + 6w + -6w

Combine like terms: 6w + -6w = 0
16 + -4w = 36 + 0
16 + -4w = 36

Add '-16' to each side of the equation.
16 + -16 + -4w = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -4w = 36 + -16
-4w = 36 + -16

Combine like terms: 36 + -16 = 20
-4w = 20

Divide each side by '-4'.
w = -5

Simplifying
w = -5

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