-3(2r+1)-11(r-5)=

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Solution for -3(2r+1)-11(r-5)= equation:


Simplifying
-3(2r + 1) + -11(r + -5) = 0

Reorder the terms:
-3(1 + 2r) + -11(r + -5) = 0
(1 * -3 + 2r * -3) + -11(r + -5) = 0
(-3 + -6r) + -11(r + -5) = 0

Reorder the terms:
-3 + -6r + -11(-5 + r) = 0
-3 + -6r + (-5 * -11 + r * -11) = 0
-3 + -6r + (55 + -11r) = 0

Reorder the terms:
-3 + 55 + -6r + -11r = 0

Combine like terms: -3 + 55 = 52
52 + -6r + -11r = 0

Combine like terms: -6r + -11r = -17r
52 + -17r = 0

Solving
52 + -17r = 0

Solving for variable 'r'.

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

Add '-52' to each side of the equation.
52 + -52 + -17r = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -17r = 0 + -52
-17r = 0 + -52

Combine like terms: 0 + -52 = -52
-17r = -52

Divide each side by '-17'.
r = 3.058823529

Simplifying
r = 3.058823529

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