7(2w-3)=11(w+3)

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Solution for 7(2w-3)=11(w+3) equation:


Simplifying
7(2w + -3) = 11(w + 3)

Reorder the terms:
7(-3 + 2w) = 11(w + 3)
(-3 * 7 + 2w * 7) = 11(w + 3)
(-21 + 14w) = 11(w + 3)

Reorder the terms:
-21 + 14w = 11(3 + w)
-21 + 14w = (3 * 11 + w * 11)
-21 + 14w = (33 + 11w)

Solving
-21 + 14w = 33 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
-21 + 14w + -11w = 33 + 11w + -11w

Combine like terms: 14w + -11w = 3w
-21 + 3w = 33 + 11w + -11w

Combine like terms: 11w + -11w = 0
-21 + 3w = 33 + 0
-21 + 3w = 33

Add '21' to each side of the equation.
-21 + 21 + 3w = 33 + 21

Combine like terms: -21 + 21 = 0
0 + 3w = 33 + 21
3w = 33 + 21

Combine like terms: 33 + 21 = 54
3w = 54

Divide each side by '3'.
w = 18

Simplifying
w = 18

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