5(r-4)=3(8-2r)

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Solution for 5(r-4)=3(8-2r) equation:


Simplifying
5(r + -4) = 3(8 + -2r)

Reorder the terms:
5(-4 + r) = 3(8 + -2r)
(-4 * 5 + r * 5) = 3(8 + -2r)
(-20 + 5r) = 3(8 + -2r)
-20 + 5r = (8 * 3 + -2r * 3)
-20 + 5r = (24 + -6r)

Solving
-20 + 5r = 24 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
-20 + 5r + 6r = 24 + -6r + 6r

Combine like terms: 5r + 6r = 11r
-20 + 11r = 24 + -6r + 6r

Combine like terms: -6r + 6r = 0
-20 + 11r = 24 + 0
-20 + 11r = 24

Add '20' to each side of the equation.
-20 + 20 + 11r = 24 + 20

Combine like terms: -20 + 20 = 0
0 + 11r = 24 + 20
11r = 24 + 20

Combine like terms: 24 + 20 = 44
11r = 44

Divide each side by '11'.
r = 4

Simplifying
r = 4

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