13r-10=5r-46

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Solution for 13r-10=5r-46 equation:


Simplifying
13r + -10 = 5r + -46

Reorder the terms:
-10 + 13r = 5r + -46

Reorder the terms:
-10 + 13r = -46 + 5r

Solving
-10 + 13r = -46 + 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.
-10 + 13r + -5r = -46 + 5r + -5r

Combine like terms: 13r + -5r = 8r
-10 + 8r = -46 + 5r + -5r

Combine like terms: 5r + -5r = 0
-10 + 8r = -46 + 0
-10 + 8r = -46

Add '10' to each side of the equation.
-10 + 10 + 8r = -46 + 10

Combine like terms: -10 + 10 = 0
0 + 8r = -46 + 10
8r = -46 + 10

Combine like terms: -46 + 10 = -36
8r = -36

Divide each side by '8'.
r = -4.5

Simplifying
r = -4.5

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