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

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Solution for 6-2+1=3r-5(r-2) equation:


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

Combine like terms: 6 + -2 = 4
4 + 1 = 3r + -5(r + -2)

Combine like terms: 4 + 1 = 5
5 = 3r + -5(r + -2)

Reorder the terms:
5 = 3r + -5(-2 + r)
5 = 3r + (-2 * -5 + r * -5)
5 = 3r + (10 + -5r)

Reorder the terms:
5 = 10 + 3r + -5r

Combine like terms: 3r + -5r = -2r
5 = 10 + -2r

Solving
5 = 10 + -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.
5 + 2r = 10 + -2r + 2r

Combine like terms: -2r + 2r = 0
5 + 2r = 10 + 0
5 + 2r = 10

Add '-5' to each side of the equation.
5 + -5 + 2r = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 2r = 10 + -5
2r = 10 + -5

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

Divide each side by '2'.
r = 2.5

Simplifying
r = 2.5

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