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

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


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

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

Combine like terms: 6 + 1 = 7
7 + -2r = 3 + -5(r + -2)

Reorder the terms:
7 + -2r = 3 + -5(-2 + r)
7 + -2r = 3 + (-2 * -5 + r * -5)
7 + -2r = 3 + (10 + -5r)

Combine like terms: 3 + 10 = 13
7 + -2r = 13 + -5r

Solving
7 + -2r = 13 + -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.
7 + -2r + 5r = 13 + -5r + 5r

Combine like terms: -2r + 5r = 3r
7 + 3r = 13 + -5r + 5r

Combine like terms: -5r + 5r = 0
7 + 3r = 13 + 0
7 + 3r = 13

Add '-7' to each side of the equation.
7 + -7 + 3r = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3r = 13 + -7
3r = 13 + -7

Combine like terms: 13 + -7 = 6
3r = 6

Divide each side by '3'.
r = 2

Simplifying
r = 2

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