2(3r-4)-1=-1(r+2)-21

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Solution for 2(3r-4)-1=-1(r+2)-21 equation: 


Simplifying
2(3r + -4) + -1 = -1(r + 2) + -21

Reorder the terms:
2(-4 + 3r) + -1 = -1(r + 2) + -21
(-4 * 2 + 3r * 2) + -1 = -1(r + 2) + -21
(-8 + 6r) + -1 = -1(r + 2) + -21

Reorder the terms:
-8 + -1 + 6r = -1(r + 2) + -21

Combine like terms: -8 + -1 = -9
-9 + 6r = -1(r + 2) + -21

Reorder the terms:
-9 + 6r = -1(2 + r) + -21
-9 + 6r = (2 * -1 + r * -1) + -21
-9 + 6r = (-2 + -1r) + -21

Reorder the terms:
-9 + 6r = -2 + -21 + -1r

Combine like terms: -2 + -21 = -23
-9 + 6r = -23 + -1r

Solving
-9 + 6r = -23 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-9 + 6r + r = -23 + -1r + r

Combine like terms: 6r + r = 7r
-9 + 7r = -23 + -1r + r

Combine like terms: -1r + r = 0
-9 + 7r = -23 + 0
-9 + 7r = -23

Add '9' to each side of the equation.
-9 + 9 + 7r = -23 + 9

Combine like terms: -9 + 9 = 0
0 + 7r = -23 + 9
7r = -23 + 9

Combine like terms: -23 + 9 = -14
7r = -14

Divide each side by '7'.
r = -2

Simplifying
r = -2

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