28+2r=-r+5(r+4)

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Solution for 28+2r=-r+5(r+4) equation:


Simplifying
28 + 2r = -1r + 5(r + 4)

Reorder the terms:
28 + 2r = -1r + 5(4 + r)
28 + 2r = -1r + (4 * 5 + r * 5)
28 + 2r = -1r + (20 + 5r)

Reorder the terms:
28 + 2r = 20 + -1r + 5r

Combine like terms: -1r + 5r = 4r
28 + 2r = 20 + 4r

Solving
28 + 2r = 20 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
28 + 2r + -4r = 20 + 4r + -4r

Combine like terms: 2r + -4r = -2r
28 + -2r = 20 + 4r + -4r

Combine like terms: 4r + -4r = 0
28 + -2r = 20 + 0
28 + -2r = 20

Add '-28' to each side of the equation.
28 + -28 + -2r = 20 + -28

Combine like terms: 28 + -28 = 0
0 + -2r = 20 + -28
-2r = 20 + -28

Combine like terms: 20 + -28 = -8
-2r = -8

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

Simplifying
r = 4

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