-5(r-4)=28-r

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Solution for -5(r-4)=28-r equation:


Simplifying
-5(r + -4) = 28 + -1r

Reorder the terms:
-5(-4 + r) = 28 + -1r
(-4 * -5 + r * -5) = 28 + -1r
(20 + -5r) = 28 + -1r

Solving
20 + -5r = 28 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
20 + -5r + r = 28 + -1r + r

Combine like terms: -5r + r = -4r
20 + -4r = 28 + -1r + r

Combine like terms: -1r + r = 0
20 + -4r = 28 + 0
20 + -4r = 28

Add '-20' to each side of the equation.
20 + -20 + -4r = 28 + -20

Combine like terms: 20 + -20 = 0
0 + -4r = 28 + -20
-4r = 28 + -20

Combine like terms: 28 + -20 = 8
-4r = 8

Divide each side by '-4'.
r = -2

Simplifying
r = -2

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