3r+6=45r+12

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Solution for 3r+6=45r+12 equation:


Simplifying
3r + 6 = 45r + 12

Reorder the terms:
6 + 3r = 45r + 12

Reorder the terms:
6 + 3r = 12 + 45r

Solving
6 + 3r = 12 + 45r

Solving for variable 'r'.

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

Add '-45r' to each side of the equation.
6 + 3r + -45r = 12 + 45r + -45r

Combine like terms: 3r + -45r = -42r
6 + -42r = 12 + 45r + -45r

Combine like terms: 45r + -45r = 0
6 + -42r = 12 + 0
6 + -42r = 12

Add '-6' to each side of the equation.
6 + -6 + -42r = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -42r = 12 + -6
-42r = 12 + -6

Combine like terms: 12 + -6 = 6
-42r = 6

Divide each side by '-42'.
r = -0.1428571429

Simplifying
r = -0.1428571429

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