11(5c-1)-10=53c+11

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Solution for 11(5c-1)-10=53c+11 equation:


Simplifying
11(5c + -1) + -10 = 53c + 11

Reorder the terms:
11(-1 + 5c) + -10 = 53c + 11
(-1 * 11 + 5c * 11) + -10 = 53c + 11
(-11 + 55c) + -10 = 53c + 11

Reorder the terms:
-11 + -10 + 55c = 53c + 11

Combine like terms: -11 + -10 = -21
-21 + 55c = 53c + 11

Reorder the terms:
-21 + 55c = 11 + 53c

Solving
-21 + 55c = 11 + 53c

Solving for variable 'c'.

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

Add '-53c' to each side of the equation.
-21 + 55c + -53c = 11 + 53c + -53c

Combine like terms: 55c + -53c = 2c
-21 + 2c = 11 + 53c + -53c

Combine like terms: 53c + -53c = 0
-21 + 2c = 11 + 0
-21 + 2c = 11

Add '21' to each side of the equation.
-21 + 21 + 2c = 11 + 21

Combine like terms: -21 + 21 = 0
0 + 2c = 11 + 21
2c = 11 + 21

Combine like terms: 11 + 21 = 32
2c = 32

Divide each side by '2'.
c = 16

Simplifying
c = 16

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