5r+4=11r-6

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Solution for 5r+4=11r-6 equation:


Simplifying
5r + 4 = 11r + -6

Reorder the terms:
4 + 5r = 11r + -6

Reorder the terms:
4 + 5r = -6 + 11r

Solving
4 + 5r = -6 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
4 + 5r + -11r = -6 + 11r + -11r

Combine like terms: 5r + -11r = -6r
4 + -6r = -6 + 11r + -11r

Combine like terms: 11r + -11r = 0
4 + -6r = -6 + 0
4 + -6r = -6

Add '-4' to each side of the equation.
4 + -4 + -6r = -6 + -4

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

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

Divide each side by '-6'.
r = 1.666666667

Simplifying
r = 1.666666667

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