r-1=3r+9

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Solution for r-1=3r+9 equation:


Simplifying
r + -1 = 3r + 9

Reorder the terms:
-1 + r = 3r + 9

Reorder the terms:
-1 + r = 9 + 3r

Solving
-1 + r = 9 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-1 + r + -3r = 9 + 3r + -3r

Combine like terms: r + -3r = -2r
-1 + -2r = 9 + 3r + -3r

Combine like terms: 3r + -3r = 0
-1 + -2r = 9 + 0
-1 + -2r = 9

Add '1' to each side of the equation.
-1 + 1 + -2r = 9 + 1

Combine like terms: -1 + 1 = 0
0 + -2r = 9 + 1
-2r = 9 + 1

Combine like terms: 9 + 1 = 10
-2r = 10

Divide each side by '-2'.
r = -5

Simplifying
r = -5

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