2r-2(8r-5)=108

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Solution for 2r-2(8r-5)=108 equation:


Simplifying
2r + -2(8r + -5) = 108

Reorder the terms:
2r + -2(-5 + 8r) = 108
2r + (-5 * -2 + 8r * -2) = 108
2r + (10 + -16r) = 108

Reorder the terms:
10 + 2r + -16r = 108

Combine like terms: 2r + -16r = -14r
10 + -14r = 108

Solving
10 + -14r = 108

Solving for variable 'r'.

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

Add '-10' to each side of the equation.
10 + -10 + -14r = 108 + -10

Combine like terms: 10 + -10 = 0
0 + -14r = 108 + -10
-14r = 108 + -10

Combine like terms: 108 + -10 = 98
-14r = 98

Divide each side by '-14'.
r = -7

Simplifying
r = -7

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