2(w+7)=6w+46

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Solution for 2(w+7)=6w+46 equation:


Simplifying
2(w + 7) = 6w + 46

Reorder the terms:
2(7 + w) = 6w + 46
(7 * 2 + w * 2) = 6w + 46
(14 + 2w) = 6w + 46

Reorder the terms:
14 + 2w = 46 + 6w

Solving
14 + 2w = 46 + 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.
14 + 2w + -6w = 46 + 6w + -6w

Combine like terms: 2w + -6w = -4w
14 + -4w = 46 + 6w + -6w

Combine like terms: 6w + -6w = 0
14 + -4w = 46 + 0
14 + -4w = 46

Add '-14' to each side of the equation.
14 + -14 + -4w = 46 + -14

Combine like terms: 14 + -14 = 0
0 + -4w = 46 + -14
-4w = 46 + -14

Combine like terms: 46 + -14 = 32
-4w = 32

Divide each side by '-4'.
w = -8

Simplifying
w = -8

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