6r+3=8r-5

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Solution for 6r+3=8r-5 equation:


Simplifying
6r + 3 = 8r + -5

Reorder the terms:
3 + 6r = 8r + -5

Reorder the terms:
3 + 6r = -5 + 8r

Solving
3 + 6r = -5 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
3 + 6r + -8r = -5 + 8r + -8r

Combine like terms: 6r + -8r = -2r
3 + -2r = -5 + 8r + -8r

Combine like terms: 8r + -8r = 0
3 + -2r = -5 + 0
3 + -2r = -5

Add '-3' to each side of the equation.
3 + -3 + -2r = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -2r = -5 + -3
-2r = -5 + -3

Combine like terms: -5 + -3 = -8
-2r = -8

Divide each side by '-2'.
r = 4

Simplifying
r = 4

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