1q+(1-q)=q+1(1-q)

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Solution for 1q+(1-q)=q+1(1-q) equation: 


Simplifying
1q + (1 + -1q) = q + 1(1 + -1q)

Remove parenthesis around (1 + -1q)
1q + 1 + -1q = q + 1(1 + -1q)

Reorder the terms:
1 + 1q + -1q = q + 1(1 + -1q)

Combine like terms: 1q + -1q = 0
1 + 0 = q + 1(1 + -1q)
1 = q + 1(1 + -1q)
1 = q + (1 * 1 + -1q * 1)
1 = q + (1 + -1q)

Reorder the terms:
1 = 1 + q + -1q

Combine like terms: q + -1q = 0
1 = 1 + 0
1 = 1

Add '-1' to each side of the equation.
1 + -1 = 1 + -1

Combine like terms: 1 + -1 = 0
0 = 1 + -1

Combine like terms: 1 + -1 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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