-4(2r-4)=3(r+6)-1

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Solution for -4(2r-4)=3(r+6)-1 equation: 


Simplifying
-4(2r + -4) = 3(r + 6) + -1

Reorder the terms:
-4(-4 + 2r) = 3(r + 6) + -1
(-4 * -4 + 2r * -4) = 3(r + 6) + -1
(16 + -8r) = 3(r + 6) + -1

Reorder the terms:
16 + -8r = 3(6 + r) + -1
16 + -8r = (6 * 3 + r * 3) + -1
16 + -8r = (18 + 3r) + -1

Reorder the terms:
16 + -8r = 18 + -1 + 3r

Combine like terms: 18 + -1 = 17
16 + -8r = 17 + 3r

Solving
16 + -8r = 17 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
16 + -8r + -3r = 17 + 3r + -3r

Combine like terms: -8r + -3r = -11r
16 + -11r = 17 + 3r + -3r

Combine like terms: 3r + -3r = 0
16 + -11r = 17 + 0
16 + -11r = 17

Add '-16' to each side of the equation.
16 + -16 + -11r = 17 + -16

Combine like terms: 16 + -16 = 0
0 + -11r = 17 + -16
-11r = 17 + -16

Combine like terms: 17 + -16 = 1
-11r = 1

Divide each side by '-11'.
r = -0.09090909091

Simplifying
r = -0.09090909091

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