6-2r+2=r-5(r-2)

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


Simplifying
6 + -2r + 2 = r + -5(r + -2)

Reorder the terms:
6 + 2 + -2r = r + -5(r + -2)

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

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

Reorder the terms:
8 + -2r = 10 + r + -5r

Combine like terms: r + -5r = -4r
8 + -2r = 10 + -4r

Solving
8 + -2r = 10 + -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.
8 + -2r + 4r = 10 + -4r + 4r

Combine like terms: -2r + 4r = 2r
8 + 2r = 10 + -4r + 4r

Combine like terms: -4r + 4r = 0
8 + 2r = 10 + 0
8 + 2r = 10

Add '-8' to each side of the equation.
8 + -8 + 2r = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 2r = 10 + -8
2r = 10 + -8

Combine like terms: 10 + -8 = 2
2r = 2

Divide each side by '2'.
r = 1

Simplifying
r = 1

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