5-(6r-3)=2r-8

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Solution for 5-(6r-3)=2r-8 equation:


Simplifying
5 + -1(6r + -3) = 2r + -8

Reorder the terms:
5 + -1(-3 + 6r) = 2r + -8
5 + (-3 * -1 + 6r * -1) = 2r + -8
5 + (3 + -6r) = 2r + -8

Combine like terms: 5 + 3 = 8
8 + -6r = 2r + -8

Reorder the terms:
8 + -6r = -8 + 2r

Solving
8 + -6r = -8 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
8 + -6r + -2r = -8 + 2r + -2r

Combine like terms: -6r + -2r = -8r
8 + -8r = -8 + 2r + -2r

Combine like terms: 2r + -2r = 0
8 + -8r = -8 + 0
8 + -8r = -8

Add '-8' to each side of the equation.
8 + -8 + -8r = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -8r = -8 + -8
-8r = -8 + -8

Combine like terms: -8 + -8 = -16
-8r = -16

Divide each side by '-8'.
r = 2

Simplifying
r = 2

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