33=7(2r-1)-2

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Solution for 33=7(2r-1)-2 equation: 


Simplifying
33 = 7(2r + -1) + -2

Reorder the terms:
33 = 7(-1 + 2r) + -2
33 = (-1 * 7 + 2r * 7) + -2
33 = (-7 + 14r) + -2

Reorder the terms:
33 = -7 + -2 + 14r

Combine like terms: -7 + -2 = -9
33 = -9 + 14r

Solving
33 = -9 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
33 + -14r = -9 + 14r + -14r

Combine like terms: 14r + -14r = 0
33 + -14r = -9 + 0
33 + -14r = -9

Add '-33' to each side of the equation.
33 + -33 + -14r = -9 + -33

Combine like terms: 33 + -33 = 0
0 + -14r = -9 + -33
-14r = -9 + -33

Combine like terms: -9 + -33 = -42
-14r = -42

Divide each side by '-14'.
r = 3

Simplifying
r = 3

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