9r-1=7r-13

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Solution for 9r-1=7r-13 equation:


Simplifying
9r + -1 = 7r + -13

Reorder the terms:
-1 + 9r = 7r + -13

Reorder the terms:
-1 + 9r = -13 + 7r

Solving
-1 + 9r = -13 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-1 + 9r + -7r = -13 + 7r + -7r

Combine like terms: 9r + -7r = 2r
-1 + 2r = -13 + 7r + -7r

Combine like terms: 7r + -7r = 0
-1 + 2r = -13 + 0
-1 + 2r = -13

Add '1' to each side of the equation.
-1 + 1 + 2r = -13 + 1

Combine like terms: -1 + 1 = 0
0 + 2r = -13 + 1
2r = -13 + 1

Combine like terms: -13 + 1 = -12
2r = -12

Divide each side by '2'.
r = -6

Simplifying
r = -6

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