4r-8=6r-33

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Solution for 4r-8=6r-33 equation:


Simplifying
4r + -8 = 6r + -33

Reorder the terms:
-8 + 4r = 6r + -33

Reorder the terms:
-8 + 4r = -33 + 6r

Solving
-8 + 4r = -33 + 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.
-8 + 4r + -6r = -33 + 6r + -6r

Combine like terms: 4r + -6r = -2r
-8 + -2r = -33 + 6r + -6r

Combine like terms: 6r + -6r = 0
-8 + -2r = -33 + 0
-8 + -2r = -33

Add '8' to each side of the equation.
-8 + 8 + -2r = -33 + 8

Combine like terms: -8 + 8 = 0
0 + -2r = -33 + 8
-2r = -33 + 8

Combine like terms: -33 + 8 = -25
-2r = -25

Divide each side by '-2'.
r = 12.5

Simplifying
r = 12.5

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