(3r-s)(r-6)=-13r+18

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Solution for (3r-s)(r-6)=-13r+18 equation:


Simplifying
(3r + -1s)(r + -6) = -13r + 18

Reorder the terms:
(3r + -1s)(-6 + r) = -13r + 18

Multiply (3r + -1s) * (-6 + r)
(3r * (-6 + r) + -1s * (-6 + r)) = -13r + 18
((-6 * 3r + r * 3r) + -1s * (-6 + r)) = -13r + 18
((-18r + 3r2) + -1s * (-6 + r)) = -13r + 18
(-18r + 3r2 + (-6 * -1s + r * -1s)) = -13r + 18

Reorder the terms:
(-18r + 3r2 + (-1rs + 6s)) = -13r + 18
(-18r + 3r2 + (-1rs + 6s)) = -13r + 18

Reorder the terms:
(-18r + -1rs + 3r2 + 6s) = -13r + 18
(-18r + -1rs + 3r2 + 6s) = -13r + 18

Reorder the terms:
-18r + -1rs + 3r2 + 6s = 18 + -13r

Solving
-18r + -1rs + 3r2 + 6s = 18 + -13r

Solving for variable 'r'.

Reorder the terms:
-18 + -18r + 13r + -1rs + 3r2 + 6s = 18 + -13r + -18 + 13r

Combine like terms: -18r + 13r = -5r
-18 + -5r + -1rs + 3r2 + 6s = 18 + -13r + -18 + 13r

Reorder the terms:
-18 + -5r + -1rs + 3r2 + 6s = 18 + -18 + -13r + 13r

Combine like terms: 18 + -18 = 0
-18 + -5r + -1rs + 3r2 + 6s = 0 + -13r + 13r
-18 + -5r + -1rs + 3r2 + 6s = -13r + 13r

Combine like terms: -13r + 13r = 0
-18 + -5r + -1rs + 3r2 + 6s = 0

The solution to this equation could not be determined.

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