3r+2+10r=7+7r+-17

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Solution for 3r+2+10r=7+7r+-17 equation: 


Simplifying
3r + 2 + 10r = 7 + 7r + -17

Reorder the terms:
2 + 3r + 10r = 7 + 7r + -17

Combine like terms: 3r + 10r = 13r
2 + 13r = 7 + 7r + -17

Reorder the terms:
2 + 13r = 7 + -17 + 7r

Combine like terms: 7 + -17 = -10
2 + 13r = -10 + 7r

Solving
2 + 13r = -10 + 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.
2 + 13r + -7r = -10 + 7r + -7r

Combine like terms: 13r + -7r = 6r
2 + 6r = -10 + 7r + -7r

Combine like terms: 7r + -7r = 0
2 + 6r = -10 + 0
2 + 6r = -10

Add '-2' to each side of the equation.
2 + -2 + 6r = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 6r = -10 + -2
6r = -10 + -2

Combine like terms: -10 + -2 = -12
6r = -12

Divide each side by '6'.
r = -2

Simplifying
r = -2

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