7(5c-19)-6c=12+18c+9

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Solution for 7(5c-19)-6c=12+18c+9 equation:


Simplifying
7(5c + -19) + -6c = 12 + 18c + 9

Reorder the terms:
7(-19 + 5c) + -6c = 12 + 18c + 9
(-19 * 7 + 5c * 7) + -6c = 12 + 18c + 9
(-133 + 35c) + -6c = 12 + 18c + 9

Combine like terms: 35c + -6c = 29c
-133 + 29c = 12 + 18c + 9

Reorder the terms:
-133 + 29c = 12 + 9 + 18c

Combine like terms: 12 + 9 = 21
-133 + 29c = 21 + 18c

Solving
-133 + 29c = 21 + 18c

Solving for variable 'c'.

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

Add '-18c' to each side of the equation.
-133 + 29c + -18c = 21 + 18c + -18c

Combine like terms: 29c + -18c = 11c
-133 + 11c = 21 + 18c + -18c

Combine like terms: 18c + -18c = 0
-133 + 11c = 21 + 0
-133 + 11c = 21

Add '133' to each side of the equation.
-133 + 133 + 11c = 21 + 133

Combine like terms: -133 + 133 = 0
0 + 11c = 21 + 133
11c = 21 + 133

Combine like terms: 21 + 133 = 154
11c = 154

Divide each side by '11'.
c = 14

Simplifying
c = 14

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