10(8c-1)-2=78c+10

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Solution for 10(8c-1)-2=78c+10 equation: 


Simplifying
10(8c + -1) + -2 = 78c + 10

Reorder the terms:
10(-1 + 8c) + -2 = 78c + 10
(-1 * 10 + 8c * 10) + -2 = 78c + 10
(-10 + 80c) + -2 = 78c + 10

Reorder the terms:
-10 + -2 + 80c = 78c + 10

Combine like terms: -10 + -2 = -12
-12 + 80c = 78c + 10

Reorder the terms:
-12 + 80c = 10 + 78c

Solving
-12 + 80c = 10 + 78c

Solving for variable 'c'.

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

Add '-78c' to each side of the equation.
-12 + 80c + -78c = 10 + 78c + -78c

Combine like terms: 80c + -78c = 2c
-12 + 2c = 10 + 78c + -78c

Combine like terms: 78c + -78c = 0
-12 + 2c = 10 + 0
-12 + 2c = 10

Add '12' to each side of the equation.
-12 + 12 + 2c = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 2c = 10 + 12
2c = 10 + 12

Combine like terms: 10 + 12 = 22
2c = 22

Divide each side by '2'.
c = 11

Simplifying
c = 11

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