4r+32+1=5r+15-23

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Solution for 4r+32+1=5r+15-23 equation:


Simplifying
4r + 32 + 1 = 5r + 15 + -23

Reorder the terms:
32 + 1 + 4r = 5r + 15 + -23

Combine like terms: 32 + 1 = 33
33 + 4r = 5r + 15 + -23

Reorder the terms:
33 + 4r = 15 + -23 + 5r

Combine like terms: 15 + -23 = -8
33 + 4r = -8 + 5r

Solving
33 + 4r = -8 + 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.
33 + 4r + -5r = -8 + 5r + -5r

Combine like terms: 4r + -5r = -1r
33 + -1r = -8 + 5r + -5r

Combine like terms: 5r + -5r = 0
33 + -1r = -8 + 0
33 + -1r = -8

Add '-33' to each side of the equation.
33 + -33 + -1r = -8 + -33

Combine like terms: 33 + -33 = 0
0 + -1r = -8 + -33
-1r = -8 + -33

Combine like terms: -8 + -33 = -41
-1r = -41

Divide each side by '-1'.
r = 41

Simplifying
r = 41

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