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

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


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

Reorder the terms:
3r + -5(-2 + r) = 2r + 1
3r + (-2 * -5 + r * -5) = 2r + 1
3r + (10 + -5r) = 2r + 1

Reorder the terms:
10 + 3r + -5r = 2r + 1

Combine like terms: 3r + -5r = -2r
10 + -2r = 2r + 1

Reorder the terms:
10 + -2r = 1 + 2r

Solving
10 + -2r = 1 + 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.
10 + -2r + -2r = 1 + 2r + -2r

Combine like terms: -2r + -2r = -4r
10 + -4r = 1 + 2r + -2r

Combine like terms: 2r + -2r = 0
10 + -4r = 1 + 0
10 + -4r = 1

Add '-10' to each side of the equation.
10 + -10 + -4r = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -4r = 1 + -10
-4r = 1 + -10

Combine like terms: 1 + -10 = -9
-4r = -9

Divide each side by '-4'.
r = 2.25

Simplifying
r = 2.25

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