11=0.75(w+12)-0.25w

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Solution for 11=0.75(w+12)-0.25w equation:


Simplifying
11 = 0.75(w + 12) + -0.25w

Reorder the terms:
11 = 0.75(12 + w) + -0.25w
11 = (12 * 0.75 + w * 0.75) + -0.25w
11 = (9 + 0.75w) + -0.25w

Combine like terms: 0.75w + -0.25w = 0.5w
11 = 9 + 0.5w

Solving
11 = 9 + 0.5w

Solving for variable 'w'.

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

Add '-0.5w' to each side of the equation.
11 + -0.5w = 9 + 0.5w + -0.5w

Combine like terms: 0.5w + -0.5w = 0.0
11 + -0.5w = 9 + 0.0
11 + -0.5w = 9

Add '-11' to each side of the equation.
11 + -11 + -0.5w = 9 + -11

Combine like terms: 11 + -11 = 0
0 + -0.5w = 9 + -11
-0.5w = 9 + -11

Combine like terms: 9 + -11 = -2
-0.5w = -2

Divide each side by '-0.5'.
w = 4

Simplifying
w = 4

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