3[r-6]+2=4[r+2]-21

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Solution for 3[r-6]+2=4[r+2]-21 equation: 


Simplifying
3[r + -6] + 2 = 4[r + 2] + -21

Reorder the terms:
3[-6 + r] + 2 = 4[r + 2] + -21
[-6 * 3 + r * 3] + 2 = 4[r + 2] + -21
[-18 + 3r] + 2 = 4[r + 2] + -21

Reorder the terms:
-18 + 2 + 3r = 4[r + 2] + -21

Combine like terms: -18 + 2 = -16
-16 + 3r = 4[r + 2] + -21

Reorder the terms:
-16 + 3r = 4[2 + r] + -21
-16 + 3r = [2 * 4 + r * 4] + -21
-16 + 3r = [8 + 4r] + -21

Reorder the terms:
-16 + 3r = 8 + -21 + 4r

Combine like terms: 8 + -21 = -13
-16 + 3r = -13 + 4r

Solving
-16 + 3r = -13 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-16 + 3r + -4r = -13 + 4r + -4r

Combine like terms: 3r + -4r = -1r
-16 + -1r = -13 + 4r + -4r

Combine like terms: 4r + -4r = 0
-16 + -1r = -13 + 0
-16 + -1r = -13

Add '16' to each side of the equation.
-16 + 16 + -1r = -13 + 16

Combine like terms: -16 + 16 = 0
0 + -1r = -13 + 16
-1r = -13 + 16

Combine like terms: -13 + 16 = 3
-1r = 3

Divide each side by '-1'.
r = -3

Simplifying
r = -3

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