12r=7(3r-5s)-9(6r+3s)-2s

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Solution for 12r=7(3r-5s)-9(6r+3s)-2s equation: 


Simplifying
12r = 7(3r + -5s) + -9(6r + 3s) + -2s
12r = (3r * 7 + -5s * 7) + -9(6r + 3s) + -2s
12r = (21r + -35s) + -9(6r + 3s) + -2s
12r = 21r + -35s + (6r * -9 + 3s * -9) + -2s
12r = 21r + -35s + (-54r + -27s) + -2s

Reorder the terms:
12r = 21r + -54r + -35s + -27s + -2s

Combine like terms: 21r + -54r = -33r
12r = -33r + -35s + -27s + -2s

Combine like terms: -35s + -27s = -62s
12r = -33r + -62s + -2s

Combine like terms: -62s + -2s = -64s
12r = -33r + -64s

Solving
12r = -33r + -64s

Solving for variable 'r'.

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

Add '33r' to each side of the equation.
12r + 33r = -33r + 33r + -64s

Combine like terms: 12r + 33r = 45r
45r = -33r + 33r + -64s

Combine like terms: -33r + 33r = 0
45r = 0 + -64s
45r = -64s

Divide each side by '45'.
r = -1.422222222s

Simplifying
r = -1.422222222s

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