10c+8(c-1)=10

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Solution for 10c+8(c-1)=10 equation: 


Simplifying
10c + 8(c + -1) = 10

Reorder the terms:
10c + 8(-1 + c) = 10
10c + (-1 * 8 + c * 8) = 10
10c + (-8 + 8c) = 10

Reorder the terms:
-8 + 10c + 8c = 10

Combine like terms: 10c + 8c = 18c
-8 + 18c = 10

Solving
-8 + 18c = 10

Solving for variable 'c'.

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

Add '8' to each side of the equation.
-8 + 8 + 18c = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 18c = 10 + 8
18c = 10 + 8

Combine like terms: 10 + 8 = 18
18c = 18

Divide each side by '18'.
c = 1

Simplifying
c = 1

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