Question

10 = 5r – 13r – 46

Answer 1

r= -7

Answer 2

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 = -56
8r = -56

Divide each side by '8'.
r = -7

Simplifying
r = -7