2r+8=6r-10

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Solution for 2r+8=6r-10 equation:


Simplifying
2r + 8 = 6r + -10

Reorder the terms:
8 + 2r = 6r + -10

Reorder the terms:
8 + 2r = -10 + 6r

Solving
8 + 2r = -10 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
8 + 2r + -6r = -10 + 6r + -6r

Combine like terms: 2r + -6r = -4r
8 + -4r = -10 + 6r + -6r

Combine like terms: 6r + -6r = 0
8 + -4r = -10 + 0
8 + -4r = -10

Add '-8' to each side of the equation.
8 + -8 + -4r = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -4r = -10 + -8
-4r = -10 + -8

Combine like terms: -10 + -8 = -18
-4r = -18

Divide each side by '-4'.
r = 4.5

Simplifying
r = 4.5

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