5+6r-1=9r+10-4r

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Solution for 5+6r-1=9r+10-4r equation: 


Simplifying
5 + 6r + -1 = 9r + 10 + -4r

Reorder the terms:
5 + -1 + 6r = 9r + 10 + -4r

Combine like terms: 5 + -1 = 4
4 + 6r = 9r + 10 + -4r

Reorder the terms:
4 + 6r = 10 + 9r + -4r

Combine like terms: 9r + -4r = 5r
4 + 6r = 10 + 5r

Solving
4 + 6r = 10 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
4 + 6r + -5r = 10 + 5r + -5r

Combine like terms: 6r + -5r = 1r
4 + 1r = 10 + 5r + -5r

Combine like terms: 5r + -5r = 0
4 + 1r = 10 + 0
4 + 1r = 10

Add '-4' to each side of the equation.
4 + -4 + 1r = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 1r = 10 + -4
1r = 10 + -4

Combine like terms: 10 + -4 = 6
1r = 6

Divide each side by '1'.
r = 6

Simplifying
r = 6

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