3(r-6)=4(r+2)-21

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Solution for 3(r-6)=4(r+2)-21 equation: 


Simplifying
3(r + -6) = 4(r + 2) + -21

Reorder the terms:
3(-6 + r) = 4(r + 2) + -21
(-6 * 3 + r * 3) = 4(r + 2) + -21
(-18 + 3r) = 4(r + 2) + -21

Reorder the terms:
-18 + 3r = 4(2 + r) + -21
-18 + 3r = (2 * 4 + r * 4) + -21
-18 + 3r = (8 + 4r) + -21

Reorder the terms:
-18 + 3r = 8 + -21 + 4r

Combine like terms: 8 + -21 = -13
-18 + 3r = -13 + 4r

Solving
-18 + 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.
-18 + 3r + -4r = -13 + 4r + -4r

Combine like terms: 3r + -4r = -1r
-18 + -1r = -13 + 4r + -4r

Combine like terms: 4r + -4r = 0
-18 + -1r = -13 + 0
-18 + -1r = -13

Add '18' to each side of the equation.
-18 + 18 + -1r = -13 + 18

Combine like terms: -18 + 18 = 0
0 + -1r = -13 + 18
-1r = -13 + 18

Combine like terms: -13 + 18 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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