G=r(10+10r)+(1-r)(5-10r)

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Solution for G=r(10+10r)+(1-r)(5-10r) equation: 


Simplifying
G = r(10 + 10r) + (1 + -1r)(5 + -10r)
G = (10 * r + 10r * r) + (1 + -1r)(5 + -10r)
G = (10r + 10r2) + (1 + -1r)(5 + -10r)

Multiply (1 + -1r) * (5 + -10r)
G = 10r + 10r2 + (1(5 + -10r) + -1r * (5 + -10r))
G = 10r + 10r2 + ((5 * 1 + -10r * 1) + -1r * (5 + -10r))
G = 10r + 10r2 + ((5 + -10r) + -1r * (5 + -10r))
G = 10r + 10r2 + (5 + -10r + (5 * -1r + -10r * -1r))
G = 10r + 10r2 + (5 + -10r + (-5r + 10r2))

Combine like terms: -10r + -5r = -15r
G = 10r + 10r2 + (5 + -15r + 10r2)

Reorder the terms:
G = 5 + 10r + -15r + 10r2 + 10r2

Combine like terms: 10r + -15r = -5r
G = 5 + -5r + 10r2 + 10r2

Combine like terms: 10r2 + 10r2 = 20r2
G = 5 + -5r + 20r2

Solving
G = 5 + -5r + 20r2

Solving for variable 'G'.

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

Simplifying
G = 5 + -5r + 20r2

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