7+r+5r-9r+7+10r+13=

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Solution for 7+r+5r-9r+7+10r+13= equation: 


Simplifying
7 + r + 5r + -9r + 7 + 10r + 13 = 0

Reorder the terms:
7 + 7 + 13 + r + 5r + -9r + 10r = 0

Combine like terms: 7 + 7 = 14
14 + 13 + r + 5r + -9r + 10r = 0

Combine like terms: 14 + 13 = 27
27 + r + 5r + -9r + 10r = 0

Combine like terms: r + 5r = 6r
27 + 6r + -9r + 10r = 0

Combine like terms: 6r + -9r = -3r
27 + -3r + 10r = 0

Combine like terms: -3r + 10r = 7r
27 + 7r = 0

Solving
27 + 7r = 0

Solving for variable 'r'.

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

Add '-27' to each side of the equation.
27 + -27 + 7r = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 7r = 0 + -27
7r = 0 + -27

Combine like terms: 0 + -27 = -27
7r = -27

Divide each side by '7'.
r = -3.857142857

Simplifying
r = -3.857142857

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