5*(2c-2)-6*(3c-12)=18

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Let's first simplify the equation by distributing the numbers outside the parentheses:

5(2c) - 52 - 6(3c) + 612 = 18

Now simplify the equation further:

10c - 10 - 18c + 72 = 18

Combine like terms:

-8c + 62 = 18

Now, isolate the variable by subtracting 62 from both sides:

-8c = -44

Finally, divide by -8 to solve for c:

c = 44/8
c = 5.5

Therefore, the solution to the equation is c = 5.5.