4r+1=5r-2

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Solution for 4r+1=5r-2 equation:


Simplifying
4r + 1 = 5r + -2

Reorder the terms:
1 + 4r = 5r + -2

Reorder the terms:
1 + 4r = -2 + 5r

Solving
1 + 4r = -2 + 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.
1 + 4r + -5r = -2 + 5r + -5r

Combine like terms: 4r + -5r = -1r
1 + -1r = -2 + 5r + -5r

Combine like terms: 5r + -5r = 0
1 + -1r = -2 + 0
1 + -1r = -2

Add '-1' to each side of the equation.
1 + -1 + -1r = -2 + -1

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

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

Divide each side by '-1'.
r = 3

Simplifying
r = 3

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