11(4c-1)-12=42c+11

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Solution for 11(4c-1)-12=42c+11 equation:


Simplifying
11(4c + -1) + -12 = 42c + 11

Reorder the terms:
11(-1 + 4c) + -12 = 42c + 11
(-1 * 11 + 4c * 11) + -12 = 42c + 11
(-11 + 44c) + -12 = 42c + 11

Reorder the terms:
-11 + -12 + 44c = 42c + 11

Combine like terms: -11 + -12 = -23
-23 + 44c = 42c + 11

Reorder the terms:
-23 + 44c = 11 + 42c

Solving
-23 + 44c = 11 + 42c

Solving for variable 'c'.

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

Add '-42c' to each side of the equation.
-23 + 44c + -42c = 11 + 42c + -42c

Combine like terms: 44c + -42c = 2c
-23 + 2c = 11 + 42c + -42c

Combine like terms: 42c + -42c = 0
-23 + 2c = 11 + 0
-23 + 2c = 11

Add '23' to each side of the equation.
-23 + 23 + 2c = 11 + 23

Combine like terms: -23 + 23 = 0
0 + 2c = 11 + 23
2c = 11 + 23

Combine like terms: 11 + 23 = 34
2c = 34

Divide each side by '2'.
c = 17

Simplifying
c = 17

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