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

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


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

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

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

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

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

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

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

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

Combine like terms: -2r + 2r = 0
-5 + 4r = 10 + 0
-5 + 4r = 10

Add '5' to each side of the equation.
-5 + 5 + 4r = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 4r = 10 + 5
4r = 10 + 5

Combine like terms: 10 + 5 = 15
4r = 15

Divide each side by '4'.
r = 3.75

Simplifying
r = 3.75

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