3w+5=9w+11

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Solution for 3w+5=9w+11 equation:


Simplifying
3w + 5 = 9w + 11

Reorder the terms:
5 + 3w = 9w + 11

Reorder the terms:
5 + 3w = 11 + 9w

Solving
5 + 3w = 11 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
5 + 3w + -9w = 11 + 9w + -9w

Combine like terms: 3w + -9w = -6w
5 + -6w = 11 + 9w + -9w

Combine like terms: 9w + -9w = 0
5 + -6w = 11 + 0
5 + -6w = 11

Add '-5' to each side of the equation.
5 + -5 + -6w = 11 + -5

Combine like terms: 5 + -5 = 0
0 + -6w = 11 + -5
-6w = 11 + -5

Combine like terms: 11 + -5 = 6
-6w = 6

Divide each side by '-6'.
w = -1

Simplifying
w = -1

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