13-3r=-7r+6-5

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Solution for 13-3r=-7r+6-5 equation:


Simplifying
13 + -3r = -7r + 6 + -5

Reorder the terms:
13 + -3r = 6 + -5 + -7r

Combine like terms: 6 + -5 = 1
13 + -3r = 1 + -7r

Solving
13 + -3r = 1 + -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.
13 + -3r + 7r = 1 + -7r + 7r

Combine like terms: -3r + 7r = 4r
13 + 4r = 1 + -7r + 7r

Combine like terms: -7r + 7r = 0
13 + 4r = 1 + 0
13 + 4r = 1

Add '-13' to each side of the equation.
13 + -13 + 4r = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 4r = 1 + -13
4r = 1 + -13

Combine like terms: 1 + -13 = -12
4r = -12

Divide each side by '4'.
r = -3

Simplifying
r = -3

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