G=r(8+12r)+(1-r)(10-8r)

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Solution for G=r(8+12r)+(1-r)(10-8r) equation: 


Simplifying
G = r(8 + 12r) + (1 + -1r)(10 + -8r)
G = (8 * r + 12r * r) + (1 + -1r)(10 + -8r)
G = (8r + 12r2) + (1 + -1r)(10 + -8r)

Multiply (1 + -1r) * (10 + -8r)
G = 8r + 12r2 + (1(10 + -8r) + -1r * (10 + -8r))
G = 8r + 12r2 + ((10 * 1 + -8r * 1) + -1r * (10 + -8r))
G = 8r + 12r2 + ((10 + -8r) + -1r * (10 + -8r))
G = 8r + 12r2 + (10 + -8r + (10 * -1r + -8r * -1r))
G = 8r + 12r2 + (10 + -8r + (-10r + 8r2))

Combine like terms: -8r + -10r = -18r
G = 8r + 12r2 + (10 + -18r + 8r2)

Reorder the terms:
G = 10 + 8r + -18r + 12r2 + 8r2

Combine like terms: 8r + -18r = -10r
G = 10 + -10r + 12r2 + 8r2

Combine like terms: 12r2 + 8r2 = 20r2
G = 10 + -10r + 20r2

Solving
G = 10 + -10r + 20r2

Solving for variable 'G'.

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

Simplifying
G = 10 + -10r + 20r2

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