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

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


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

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

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

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

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

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

Add '2r' to each side of the equation.
7 + -2r + 2r = 10 + -2r + 2r

Combine like terms: -2r + 2r = 0
7 + 0 = 10 + -2r + 2r
7 = 10 + -2r + 2r

Combine like terms: -2r + 2r = 0
7 = 10 + 0
7 = 10

Solving
7 = 10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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