5(5r-5)-4(5+2r)=-11

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Solution for 5(5r-5)-4(5+2r)=-11 equation: 


Simplifying
5(5r + -5) + -4(5 + 2r) = -11

Reorder the terms:
5(-5 + 5r) + -4(5 + 2r) = -11
(-5 * 5 + 5r * 5) + -4(5 + 2r) = -11
(-25 + 25r) + -4(5 + 2r) = -11
-25 + 25r + (5 * -4 + 2r * -4) = -11
-25 + 25r + (-20 + -8r) = -11

Reorder the terms:
-25 + -20 + 25r + -8r = -11

Combine like terms: -25 + -20 = -45
-45 + 25r + -8r = -11

Combine like terms: 25r + -8r = 17r
-45 + 17r = -11

Solving
-45 + 17r = -11

Solving for variable 'r'.

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

Add '45' to each side of the equation.
-45 + 45 + 17r = -11 + 45

Combine like terms: -45 + 45 = 0
0 + 17r = -11 + 45
17r = -11 + 45

Combine like terms: -11 + 45 = 34
17r = 34

Divide each side by '17'.
r = 2

Simplifying
r = 2

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