3r+44=5r-6

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Solution for 3r+44=5r-6 equation:


Simplifying
3r + 44 = 5r + -6

Reorder the terms:
44 + 3r = 5r + -6

Reorder the terms:
44 + 3r = -6 + 5r

Solving
44 + 3r = -6 + 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.
44 + 3r + -5r = -6 + 5r + -5r

Combine like terms: 3r + -5r = -2r
44 + -2r = -6 + 5r + -5r

Combine like terms: 5r + -5r = 0
44 + -2r = -6 + 0
44 + -2r = -6

Add '-44' to each side of the equation.
44 + -44 + -2r = -6 + -44

Combine like terms: 44 + -44 = 0
0 + -2r = -6 + -44
-2r = -6 + -44

Combine like terms: -6 + -44 = -50
-2r = -50

Divide each side by '-2'.
r = 25

Simplifying
r = 25

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