3r+200=2r+1000

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Solution for 3r+200=2r+1000 equation:


Simplifying
3r + 200 = 2r + 1000

Reorder the terms:
200 + 3r = 2r + 1000

Reorder the terms:
200 + 3r = 1000 + 2r

Solving
200 + 3r = 1000 + 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.
200 + 3r + -2r = 1000 + 2r + -2r

Combine like terms: 3r + -2r = 1r
200 + 1r = 1000 + 2r + -2r

Combine like terms: 2r + -2r = 0
200 + 1r = 1000 + 0
200 + 1r = 1000

Add '-200' to each side of the equation.
200 + -200 + 1r = 1000 + -200

Combine like terms: 200 + -200 = 0
0 + 1r = 1000 + -200
1r = 1000 + -200

Combine like terms: 1000 + -200 = 800
1r = 800

Divide each side by '1'.
r = 800

Simplifying
r = 800

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