9(6c-1)-12=52c+9

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Solution for 9(6c-1)-12=52c+9 equation:


Simplifying
9(6c + -1) + -12 = 52c + 9

Reorder the terms:
9(-1 + 6c) + -12 = 52c + 9
(-1 * 9 + 6c * 9) + -12 = 52c + 9
(-9 + 54c) + -12 = 52c + 9

Reorder the terms:
-9 + -12 + 54c = 52c + 9

Combine like terms: -9 + -12 = -21
-21 + 54c = 52c + 9

Reorder the terms:
-21 + 54c = 9 + 52c

Solving
-21 + 54c = 9 + 52c

Solving for variable 'c'.

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

Add '-52c' to each side of the equation.
-21 + 54c + -52c = 9 + 52c + -52c

Combine like terms: 54c + -52c = 2c
-21 + 2c = 9 + 52c + -52c

Combine like terms: 52c + -52c = 0
-21 + 2c = 9 + 0
-21 + 2c = 9

Add '21' to each side of the equation.
-21 + 21 + 2c = 9 + 21

Combine like terms: -21 + 21 = 0
0 + 2c = 9 + 21
2c = 9 + 21

Combine like terms: 9 + 21 = 30
2c = 30

Divide each side by '2'.
c = 15

Simplifying
c = 15

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