r+6=-3r+6r-10

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Solution for r+6=-3r+6r-10 equation: 


Simplifying
r + 6 = -3r + 6r + -10

Reorder the terms:
6 + r = -3r + 6r + -10

Reorder the terms:
6 + r = -10 + -3r + 6r

Combine like terms: -3r + 6r = 3r
6 + r = -10 + 3r

Solving
6 + r = -10 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
6 + r + -3r = -10 + 3r + -3r

Combine like terms: r + -3r = -2r
6 + -2r = -10 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + -2r = -10 + 0
6 + -2r = -10

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

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

Combine like terms: -10 + -6 = -16
-2r = -16

Divide each side by '-2'.
r = 8

Simplifying
r = 8

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