6r-5r=-2(7-7r)-12(9-4r)

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Solution for 6r-5r=-2(7-7r)-12(9-4r) equation: 


Simplifying
6r + -5r = -2(7 + -7r) + -12(9 + -4r)

Combine like terms: 6r + -5r = 1r
1r = -2(7 + -7r) + -12(9 + -4r)
1r = (7 * -2 + -7r * -2) + -12(9 + -4r)
1r = (-14 + 14r) + -12(9 + -4r)
1r = -14 + 14r + (9 * -12 + -4r * -12)
1r = -14 + 14r + (-108 + 48r)

Reorder the terms:
1r = -14 + -108 + 14r + 48r

Combine like terms: -14 + -108 = -122
1r = -122 + 14r + 48r

Combine like terms: 14r + 48r = 62r
1r = -122 + 62r

Solving
1r = -122 + 62r

Solving for variable 'r'.

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

Add '-62r' to each side of the equation.
1r + -62r = -122 + 62r + -62r

Combine like terms: 1r + -62r = -61r
-61r = -122 + 62r + -62r

Combine like terms: 62r + -62r = 0
-61r = -122 + 0
-61r = -122

Divide each side by '-61'.
r = 2

Simplifying
r = 2

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