2r-11t=5(1-5r)+5(6r-1)

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Solution for 2r-11t=5(1-5r)+5(6r-1) equation: 


Simplifying
2r + -11t = 5(1 + -5r) + 5(6r + -1)
2r + -11t = (1 * 5 + -5r * 5) + 5(6r + -1)
2r + -11t = (5 + -25r) + 5(6r + -1)

Reorder the terms:
2r + -11t = 5 + -25r + 5(-1 + 6r)
2r + -11t = 5 + -25r + (-1 * 5 + 6r * 5)
2r + -11t = 5 + -25r + (-5 + 30r)

Reorder the terms:
2r + -11t = 5 + -5 + -25r + 30r

Combine like terms: 5 + -5 = 0
2r + -11t = 0 + -25r + 30r
2r + -11t = -25r + 30r

Combine like terms: -25r + 30r = 5r
2r + -11t = 5r

Solving
2r + -11t = 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
2r + -5r + -11t = 5r + -5r

Combine like terms: 2r + -5r = -3r
-3r + -11t = 5r + -5r

Combine like terms: 5r + -5r = 0
-3r + -11t = 0

Add '11t' to each side of the equation.
-3r + -11t + 11t = 0 + 11t

Combine like terms: -11t + 11t = 0
-3r + 0 = 0 + 11t
-3r = 0 + 11t
Remove the zero:
-3r = 11t

Divide each side by '-3'.
r = -3.666666667t

Simplifying
r = -3.666666667t

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