5(r-8)=16-r

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Solution for 5(r-8)=16-r equation:


Simplifying
5(r + -8) = 16 + -1r

Reorder the terms:
5(-8 + r) = 16 + -1r
(-8 * 5 + r * 5) = 16 + -1r
(-40 + 5r) = 16 + -1r

Solving
-40 + 5r = 16 + -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.
-40 + 5r + r = 16 + -1r + r

Combine like terms: 5r + r = 6r
-40 + 6r = 16 + -1r + r

Combine like terms: -1r + r = 0
-40 + 6r = 16 + 0
-40 + 6r = 16

Add '40' to each side of the equation.
-40 + 40 + 6r = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 6r = 16 + 40
6r = 16 + 40

Combine like terms: 16 + 40 = 56
6r = 56

Divide each side by '6'.
r = 9.333333333

Simplifying
r = 9.333333333

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