r-7=5r+9

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Solution for r-7=5r+9 equation:


Simplifying
r + -7 = 5r + 9

Reorder the terms:
-7 + r = 5r + 9

Reorder the terms:
-7 + r = 9 + 5r

Solving
-7 + r = 9 + 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.
-7 + r + -5r = 9 + 5r + -5r

Combine like terms: r + -5r = -4r
-7 + -4r = 9 + 5r + -5r

Combine like terms: 5r + -5r = 0
-7 + -4r = 9 + 0
-7 + -4r = 9

Add '7' to each side of the equation.
-7 + 7 + -4r = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -4r = 9 + 7
-4r = 9 + 7

Combine like terms: 9 + 7 = 16
-4r = 16

Divide each side by '-4'.
r = -4

Simplifying
r = -4

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