6r+9-4r+-8=21

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Solution for 6r+9-4r+-8=21 equation: 


Simplifying
6r + 9 + -4r + -8 = 21

Reorder the terms:
9 + -8 + 6r + -4r = 21

Combine like terms: 9 + -8 = 1
1 + 6r + -4r = 21

Combine like terms: 6r + -4r = 2r
1 + 2r = 21

Solving
1 + 2r = 21

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 2r = 21 + -1

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

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

Divide each side by '2'.
r = 10

Simplifying
r = 10

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