5q+0*(1-q)=4q+2*(1-q)

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Solution for 5q+0*(1-q)=4q+2*(1-q) equation: 


Simplifying
5q + 0(1 + -1q) = 4q + 2(1 + -1q)

Anything times zero is zero.
5q + 0(1 + -1q) = 4q + 2(1 + -1q)

Reorder the terms:
0 + 5q = 4q + 2(1 + -1q)
Remove the zero:
5q = 4q + 2(1 + -1q)
5q = 4q + (1 * 2 + -1q * 2)
5q = 4q + (2 + -2q)

Reorder the terms:
5q = 2 + 4q + -2q

Combine like terms: 4q + -2q = 2q
5q = 2 + 2q

Solving
5q = 2 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
5q + -2q = 2 + 2q + -2q

Combine like terms: 5q + -2q = 3q
3q = 2 + 2q + -2q

Combine like terms: 2q + -2q = 0
3q = 2 + 0
3q = 2

Divide each side by '3'.
q = 0.6666666667

Simplifying
q = 0.6666666667

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