6r+3=27r+10

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Solution for 6r+3=27r+10 equation:


Simplifying
6r + 3 = 27r + 10

Reorder the terms:
3 + 6r = 27r + 10

Reorder the terms:
3 + 6r = 10 + 27r

Solving
3 + 6r = 10 + 27r

Solving for variable 'r'.

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

Add '-27r' to each side of the equation.
3 + 6r + -27r = 10 + 27r + -27r

Combine like terms: 6r + -27r = -21r
3 + -21r = 10 + 27r + -27r

Combine like terms: 27r + -27r = 0
3 + -21r = 10 + 0
3 + -21r = 10

Add '-3' to each side of the equation.
3 + -3 + -21r = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -21r = 10 + -3
-21r = 10 + -3

Combine like terms: 10 + -3 = 7
-21r = 7

Divide each side by '-21'.
r = -0.3333333333

Simplifying
r = -0.3333333333

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