4r-3=r+6

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Solution for 4r-3=r+6 equation:


Simplifying
4r + -3 = r + 6

Reorder the terms:
-3 + 4r = r + 6

Reorder the terms:
-3 + 4r = 6 + r

Solving
-3 + 4r = 6 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-3 + 4r + -1r = 6 + r + -1r

Combine like terms: 4r + -1r = 3r
-3 + 3r = 6 + r + -1r

Combine like terms: r + -1r = 0
-3 + 3r = 6 + 0
-3 + 3r = 6

Add '3' to each side of the equation.
-3 + 3 + 3r = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 3r = 6 + 3
3r = 6 + 3

Combine like terms: 6 + 3 = 9
3r = 9

Divide each side by '3'.
r = 3

Simplifying
r = 3

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