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

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


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

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

Reorder the terms:
-20 + 5r = 8(3 + 2r)
-20 + 5r = (3 * 8 + 2r * 8)
-20 + 5r = (24 + 16r)

Solving
-20 + 5r = 24 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
-20 + 5r + -16r = 24 + 16r + -16r

Combine like terms: 5r + -16r = -11r
-20 + -11r = 24 + 16r + -16r

Combine like terms: 16r + -16r = 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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