2(1-4r)-12r=-7(3r-1)+9

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Solution for 2(1-4r)-12r=-7(3r-1)+9 equation: 


Simplifying
2(1 + -4r) + -12r = -7(3r + -1) + 9
(1 * 2 + -4r * 2) + -12r = -7(3r + -1) + 9
(2 + -8r) + -12r = -7(3r + -1) + 9

Combine like terms: -8r + -12r = -20r
2 + -20r = -7(3r + -1) + 9

Reorder the terms:
2 + -20r = -7(-1 + 3r) + 9
2 + -20r = (-1 * -7 + 3r * -7) + 9
2 + -20r = (7 + -21r) + 9

Reorder the terms:
2 + -20r = 7 + 9 + -21r

Combine like terms: 7 + 9 = 16
2 + -20r = 16 + -21r

Solving
2 + -20r = 16 + -21r

Solving for variable 'r'.

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

Add '21r' to each side of the equation.
2 + -20r + 21r = 16 + -21r + 21r

Combine like terms: -20r + 21r = 1r
2 + 1r = 16 + -21r + 21r

Combine like terms: -21r + 21r = 0
2 + 1r = 16 + 0
2 + 1r = 16

Add '-2' to each side of the equation.
2 + -2 + 1r = 16 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 16 + -2
1r = 16 + -2

Combine like terms: 16 + -2 = 14
1r = 14

Divide each side by '1'.
r = 14

Simplifying
r = 14

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