5(4-r)-2(3r+10)=22

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Solution for 5(4-r)-2(3r+10)=22 equation: 


Simplifying
5(4 + -1r) + -2(3r + 10) = 22
(4 * 5 + -1r * 5) + -2(3r + 10) = 22
(20 + -5r) + -2(3r + 10) = 22

Reorder the terms:
20 + -5r + -2(10 + 3r) = 22
20 + -5r + (10 * -2 + 3r * -2) = 22
20 + -5r + (-20 + -6r) = 22

Reorder the terms:
20 + -20 + -5r + -6r = 22

Combine like terms: 20 + -20 = 0
0 + -5r + -6r = 22
-5r + -6r = 22

Combine like terms: -5r + -6r = -11r
-11r = 22

Solving
-11r = 22

Solving for variable 'r'.

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

Divide each side by '-11'.
r = -2

Simplifying
r = -2

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