7(5c-1)-12=33c+7

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Solution for 7(5c-1)-12=33c+7 equation:


Simplifying
7(5c + -1) + -12 = 33c + 7

Reorder the terms:
7(-1 + 5c) + -12 = 33c + 7
(-1 * 7 + 5c * 7) + -12 = 33c + 7
(-7 + 35c) + -12 = 33c + 7

Reorder the terms:
-7 + -12 + 35c = 33c + 7

Combine like terms: -7 + -12 = -19
-19 + 35c = 33c + 7

Reorder the terms:
-19 + 35c = 7 + 33c

Solving
-19 + 35c = 7 + 33c

Solving for variable 'c'.

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

Add '-33c' to each side of the equation.
-19 + 35c + -33c = 7 + 33c + -33c

Combine like terms: 35c + -33c = 2c
-19 + 2c = 7 + 33c + -33c

Combine like terms: 33c + -33c = 0
-19 + 2c = 7 + 0
-19 + 2c = 7

Add '19' to each side of the equation.
-19 + 19 + 2c = 7 + 19

Combine like terms: -19 + 19 = 0
0 + 2c = 7 + 19
2c = 7 + 19

Combine like terms: 7 + 19 = 26
2c = 26

Divide each side by '2'.
c = 13

Simplifying
c = 13

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