4w+6=2w+16

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Solution for 4w+6=2w+16 equation:


Simplifying
4w + 6 = 2w + 16

Reorder the terms:
6 + 4w = 2w + 16

Reorder the terms:
6 + 4w = 16 + 2w

Solving
6 + 4w = 16 + 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.
6 + 4w + -2w = 16 + 2w + -2w

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

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

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

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

Combine like terms: 16 + -6 = 10
2w = 10

Divide each side by '2'.
w = 5

Simplifying
w = 5

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