7r+3=r-6-8-13

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Solution for 7r+3=r-6-8-13 equation:


Simplifying
7r + 3 = r + -6 + -8 + -13

Reorder the terms:
3 + 7r = r + -6 + -8 + -13

Reorder the terms:
3 + 7r = -6 + -8 + -13 + r

Combine like terms: -6 + -8 = -14
3 + 7r = -14 + -13 + r

Combine like terms: -14 + -13 = -27
3 + 7r = -27 + r

Solving
3 + 7r = -27 + r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1r' to each side of the equation.
3 + 7r + -1r = -27 + r + -1r

Combine like terms: 7r + -1r = 6r
3 + 6r = -27 + r + -1r

Combine like terms: r + -1r = 0
3 + 6r = -27 + 0
3 + 6r = -27

Add '-3' to each side of the equation.
3 + -3 + 6r = -27 + -3

Combine like terms: 3 + -3 = 0
0 + 6r = -27 + -3
6r = -27 + -3

Combine like terms: -27 + -3 = -30
6r = -30

Divide each side by '6'.
r = -5

Simplifying
r = -5

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