7(w-2)=2w+11

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Solution for 7(w-2)=2w+11 equation:


Simplifying
7(w + -2) = 2w + 11

Reorder the terms:
7(-2 + w) = 2w + 11
(-2 * 7 + w * 7) = 2w + 11
(-14 + 7w) = 2w + 11

Reorder the terms:
-14 + 7w = 11 + 2w

Solving
-14 + 7w = 11 + 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.
-14 + 7w + -2w = 11 + 2w + -2w

Combine like terms: 7w + -2w = 5w
-14 + 5w = 11 + 2w + -2w

Combine like terms: 2w + -2w = 0
-14 + 5w = 11 + 0
-14 + 5w = 11

Add '14' to each side of the equation.
-14 + 14 + 5w = 11 + 14

Combine like terms: -14 + 14 = 0
0 + 5w = 11 + 14
5w = 11 + 14

Combine like terms: 11 + 14 = 25
5w = 25

Divide each side by '5'.
w = 5

Simplifying
w = 5

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