G=r(10+12r)+(1-r)(11-10r)

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Solution for G=r(10+12r)+(1-r)(11-10r) equation: 


Simplifying
G = r(10 + 12r) + (1 + -1r)(11 + -10r)
G = (10 * r + 12r * r) + (1 + -1r)(11 + -10r)
G = (10r + 12r2) + (1 + -1r)(11 + -10r)

Multiply (1 + -1r) * (11 + -10r)
G = 10r + 12r2 + (1(11 + -10r) + -1r * (11 + -10r))
G = 10r + 12r2 + ((11 * 1 + -10r * 1) + -1r * (11 + -10r))
G = 10r + 12r2 + ((11 + -10r) + -1r * (11 + -10r))
G = 10r + 12r2 + (11 + -10r + (11 * -1r + -10r * -1r))
G = 10r + 12r2 + (11 + -10r + (-11r + 10r2))

Combine like terms: -10r + -11r = -21r
G = 10r + 12r2 + (11 + -21r + 10r2)

Reorder the terms:
G = 11 + 10r + -21r + 12r2 + 10r2

Combine like terms: 10r + -21r = -11r
G = 11 + -11r + 12r2 + 10r2

Combine like terms: 12r2 + 10r2 = 22r2
G = 11 + -11r + 22r2

Solving
G = 11 + -11r + 22r2

Solving for variable 'G'.

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

Simplifying
G = 11 + -11r + 22r2

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