r-2(r-1)=5r-5

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Solution for r-2(r-1)=5r-5 equation: 


Simplifying
r + -2(r + -1) = 5r + -5

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

Reorder the terms:
2 + r + -2r = 5r + -5

Combine like terms: r + -2r = -1r
2 + -1r = 5r + -5

Reorder the terms:
2 + -1r = -5 + 5r

Solving
2 + -1r = -5 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
2 + -1r + -5r = -5 + 5r + -5r

Combine like terms: -1r + -5r = -6r
2 + -6r = -5 + 5r + -5r

Combine like terms: 5r + -5r = 0
2 + -6r = -5 + 0
2 + -6r = -5

Add '-2' to each side of the equation.
2 + -2 + -6r = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -6r = -5 + -2
-6r = -5 + -2

Combine like terms: -5 + -2 = -7
-6r = -7

Divide each side by '-6'.
r = 1.166666667

Simplifying
r = 1.166666667

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