2(w+8)=4w+14

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Solution for 2(w+8)=4w+14 equation:


Simplifying
2(w + 8) = 4w + 14

Reorder the terms:
2(8 + w) = 4w + 14
(8 * 2 + w * 2) = 4w + 14
(16 + 2w) = 4w + 14

Reorder the terms:
16 + 2w = 14 + 4w

Solving
16 + 2w = 14 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
16 + 2w + -4w = 14 + 4w + -4w

Combine like terms: 2w + -4w = -2w
16 + -2w = 14 + 4w + -4w

Combine like terms: 4w + -4w = 0
16 + -2w = 14 + 0
16 + -2w = 14

Add '-16' to each side of the equation.
16 + -16 + -2w = 14 + -16

Combine like terms: 16 + -16 = 0
0 + -2w = 14 + -16
-2w = 14 + -16

Combine like terms: 14 + -16 = -2
-2w = -2

Divide each side by '-2'.
w = 1

Simplifying
w = 1

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