4w+14=2(6w-14)

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Solution for 4w+14=2(6w-14) equation:


Simplifying
4w + 14 = 2(6w + -14)

Reorder the terms:
14 + 4w = 2(6w + -14)

Reorder the terms:
14 + 4w = 2(-14 + 6w)
14 + 4w = (-14 * 2 + 6w * 2)
14 + 4w = (-28 + 12w)

Solving
14 + 4w = -28 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
14 + 4w + -12w = -28 + 12w + -12w

Combine like terms: 4w + -12w = -8w
14 + -8w = -28 + 12w + -12w

Combine like terms: 12w + -12w = 0
14 + -8w = -28 + 0
14 + -8w = -28

Add '-14' to each side of the equation.
14 + -14 + -8w = -28 + -14

Combine like terms: 14 + -14 = 0
0 + -8w = -28 + -14
-8w = -28 + -14

Combine like terms: -28 + -14 = -42
-8w = -42

Divide each side by '-8'.
w = 5.25

Simplifying
w = 5.25

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