21Q+116(1-Q)=116Q+3(1-Q)

Solution for 21Q+116(1-Q)=116Q+3(1-Q) equation:

Simplifying
21Q + 116(1 + -1Q) = 116Q + 3(1 + -1Q)
21Q + (1 * 116 + -1Q * 116) = 116Q + 3(1 + -1Q)
21Q + (116 + -116Q) = 116Q + 3(1 + -1Q)

Reorder the terms:
116 + 21Q + -116Q = 116Q + 3(1 + -1Q)

Combine like terms: 21Q + -116Q = -95Q
116 + -95Q = 116Q + 3(1 + -1Q)
116 + -95Q = 116Q + (1 * 3 + -1Q * 3)
116 + -95Q = 116Q + (3 + -3Q)

Reorder the terms:
116 + -95Q = 3 + 116Q + -3Q

Combine like terms: 116Q + -3Q = 113Q
116 + -95Q = 3 + 113Q

Solving
116 + -95Q = 3 + 113Q

Solving for variable 'Q'.

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

Add '-113Q' to each side of the equation.
116 + -95Q + -113Q = 3 + 113Q + -113Q

Combine like terms: -95Q + -113Q = -208Q
116 + -208Q = 3 + 113Q + -113Q

Combine like terms: 113Q + -113Q = 0
116 + -208Q = 3 + 0
116 + -208Q = 3

Add '-116' to each side of the equation.
116 + -116 + -208Q = 3 + -116

Combine like terms: 116 + -116 = 0
0 + -208Q = 3 + -116
-208Q = 3 + -116

Combine like terms: 3 + -116 = -113
-208Q = -113

Divide each side by '-208'.
Q = 0.5432692308

Simplifying
Q = 0.5432692308