G=r(9+16r)+(1-r)(10-9r)

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Solution for G=r(9+16r)+(1-r)(10-9r) equation: 


Simplifying
G = r(9 + 16r) + (1 + -1r)(10 + -9r)
G = (9 * r + 16r * r) + (1 + -1r)(10 + -9r)
G = (9r + 16r2) + (1 + -1r)(10 + -9r)

Multiply (1 + -1r) * (10 + -9r)
G = 9r + 16r2 + (1(10 + -9r) + -1r * (10 + -9r))
G = 9r + 16r2 + ((10 * 1 + -9r * 1) + -1r * (10 + -9r))
G = 9r + 16r2 + ((10 + -9r) + -1r * (10 + -9r))
G = 9r + 16r2 + (10 + -9r + (10 * -1r + -9r * -1r))
G = 9r + 16r2 + (10 + -9r + (-10r + 9r2))

Combine like terms: -9r + -10r = -19r
G = 9r + 16r2 + (10 + -19r + 9r2)

Reorder the terms:
G = 10 + 9r + -19r + 16r2 + 9r2

Combine like terms: 9r + -19r = -10r
G = 10 + -10r + 16r2 + 9r2

Combine like terms: 16r2 + 9r2 = 25r2
G = 10 + -10r + 25r2

Solving
G = 10 + -10r + 25r2

Solving for variable 'G'.

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

Simplifying
G = 10 + -10r + 25r2

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