-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 = -18r
10 + -18r = -46 + 5r + -5r

Combine like terms: 5r + -5r = 0
10 + -18r = -46 + 0
10 + -18r = -46

Add '-10' to each side of the equation.
10 + -10 + -18r = -46 + -10

Combine like terms: 10 + -10 = 0
0 + -18r = -46 + -10
-18r = -46 + -10

Combine like terms: -46 + -10 = -56
-18r = -56

Divide each side by '-18'.
r = 3.111111111

Simplifying
r = 3.111111111

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