G=r(14+10r)+(1-r)(6-14r)

Solution for G=r(14+10r)+(1-r)(6-14r) equation:

Simplifying
G = r(14 + 10r) + (1 + -1r)(6 + -14r)
G = (14 * r + 10r * r) + (1 + -1r)(6 + -14r)
G = (14r + 10r2) + (1 + -1r)(6 + -14r)

Multiply (1 + -1r) * (6 + -14r)
G = 14r + 10r2 + (1(6 + -14r) + -1r * (6 + -14r))
G = 14r + 10r2 + ((6 * 1 + -14r * 1) + -1r * (6 + -14r))
G = 14r + 10r2 + ((6 + -14r) + -1r * (6 + -14r))
G = 14r + 10r2 + (6 + -14r + (6 * -1r + -14r * -1r))
G = 14r + 10r2 + (6 + -14r + (-6r + 14r2))

Combine like terms: -14r + -6r = -20r
G = 14r + 10r2 + (6 + -20r + 14r2)

Reorder the terms:
G = 6 + 14r + -20r + 10r2 + 14r2

Combine like terms: 14r + -20r = -6r
G = 6 + -6r + 10r2 + 14r2

Combine like terms: 10r2 + 14r2 = 24r2
G = 6 + -6r + 24r2

Solving
G = 6 + -6r + 24r2

Solving for variable 'G'.

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

Simplifying
G = 6 + -6r + 24r2