2(5-3r)=4r-16

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Solution for 2(5-3r)=4r-16 equation: 


Simplifying
2(5 + -3r) = 4r + -16
(5 * 2 + -3r * 2) = 4r + -16
(10 + -6r) = 4r + -16

Reorder the terms:
10 + -6r = -16 + 4r

Solving
10 + -6r = -16 + 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.
10 + -6r + -4r = -16 + 4r + -4r

Combine like terms: -6r + -4r = -10r
10 + -10r = -16 + 4r + -4r

Combine like terms: 4r + -4r = 0
10 + -10r = -16 + 0
10 + -10r = -16

Add '-10' to each side of the equation.
10 + -10 + -10r = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -10r = -16 + -10
-10r = -16 + -10

Combine like terms: -16 + -10 = -26
-10r = -26

Divide each side by '-10'.
r = 2.6

Simplifying
r = 2.6

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