11=5w+3(w-3)

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Solution for 11=5w+3(w-3) equation:


Simplifying
11 = 5w + 3(w + -3)

Reorder the terms:
11 = 5w + 3(-3 + w)
11 = 5w + (-3 * 3 + w * 3)
11 = 5w + (-9 + 3w)

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

Combine like terms: 5w + 3w = 8w
11 = -9 + 8w

Solving
11 = -9 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
11 + -8w = -9 + 8w + -8w

Combine like terms: 8w + -8w = 0
11 + -8w = -9 + 0
11 + -8w = -9

Add '-11' to each side of the equation.
11 + -11 + -8w = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -8w = -9 + -11
-8w = -9 + -11

Combine like terms: -9 + -11 = -20
-8w = -20

Divide each side by '-8'.
w = 2.5

Simplifying
w = 2.5

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