5r-40+4=6r+12-24

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Solution for 5r-40+4=6r+12-24 equation:


Simplifying
5r + -40 + 4 = 6r + 12 + -24

Reorder the terms:
-40 + 4 + 5r = 6r + 12 + -24

Combine like terms: -40 + 4 = -36
-36 + 5r = 6r + 12 + -24

Reorder the terms:
-36 + 5r = 12 + -24 + 6r

Combine like terms: 12 + -24 = -12
-36 + 5r = -12 + 6r

Solving
-36 + 5r = -12 + 6r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-6r' to each side of the equation.
-36 + 5r + -6r = -12 + 6r + -6r

Combine like terms: 5r + -6r = -1r
-36 + -1r = -12 + 6r + -6r

Combine like terms: 6r + -6r = 0
-36 + -1r = -12 + 0
-36 + -1r = -12

Add '36' to each side of the equation.
-36 + 36 + -1r = -12 + 36

Combine like terms: -36 + 36 = 0
0 + -1r = -12 + 36
-1r = -12 + 36

Combine like terms: -12 + 36 = 24
-1r = 24

Divide each side by '-1'.
r = -24

Simplifying
r = -24

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