5(3r-6)=11r-4

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Solution for 5(3r-6)=11r-4 equation:


Simplifying
5(3r + -6) = 11r + -4

Reorder the terms:
5(-6 + 3r) = 11r + -4
(-6 * 5 + 3r * 5) = 11r + -4
(-30 + 15r) = 11r + -4

Reorder the terms:
-30 + 15r = -4 + 11r

Solving
-30 + 15r = -4 + 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.
-30 + 15r + -11r = -4 + 11r + -11r

Combine like terms: 15r + -11r = 4r
-30 + 4r = -4 + 11r + -11r

Combine like terms: 11r + -11r = 0
-30 + 4r = -4 + 0
-30 + 4r = -4

Add '30' to each side of the equation.
-30 + 30 + 4r = -4 + 30

Combine like terms: -30 + 30 = 0
0 + 4r = -4 + 30
4r = -4 + 30

Combine like terms: -4 + 30 = 26
4r = 26

Divide each side by '4'.
r = 6.5

Simplifying
r = 6.5

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