2w+2(3w-3)=2w+22

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Solution for 2w+2(3w-3)=2w+22 equation:


Simplifying
2w + 2(3w + -3) = 2w + 22

Reorder the terms:
2w + 2(-3 + 3w) = 2w + 22
2w + (-3 * 2 + 3w * 2) = 2w + 22
2w + (-6 + 6w) = 2w + 22

Reorder the terms:
-6 + 2w + 6w = 2w + 22

Combine like terms: 2w + 6w = 8w
-6 + 8w = 2w + 22

Reorder the terms:
-6 + 8w = 22 + 2w

Solving
-6 + 8w = 22 + 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 + 8w + -2w = 22 + 2w + -2w

Combine like terms: 8w + -2w = 6w
-6 + 6w = 22 + 2w + -2w

Combine like terms: 2w + -2w = 0
-6 + 6w = 22 + 0
-6 + 6w = 22

Add '6' to each side of the equation.
-6 + 6 + 6w = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 6w = 22 + 6
6w = 22 + 6

Combine like terms: 22 + 6 = 28
6w = 28

Divide each side by '6'.
w = 4.666666667

Simplifying
w = 4.666666667

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