5r-6=8r-18

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Solution for 5r-6=8r-18 equation:


Simplifying
5r + -6 = 8r + -18

Reorder the terms:
-6 + 5r = 8r + -18

Reorder the terms:
-6 + 5r = -18 + 8r

Solving
-6 + 5r = -18 + 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.
-6 + 5r + -8r = -18 + 8r + -8r

Combine like terms: 5r + -8r = -3r
-6 + -3r = -18 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + -3r = -18 + 0
-6 + -3r = -18

Add '6' to each side of the equation.
-6 + 6 + -3r = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -3r = -18 + 6
-3r = -18 + 6

Combine like terms: -18 + 6 = -12
-3r = -12

Divide each side by '-3'.
r = 4

Simplifying
r = 4

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