10(8c-1)-14=78c+10

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Solution for 10(8c-1)-14=78c+10 equation:


Simplifying
10(8c + -1) + -14 = 78c + 10

Reorder the terms:
10(-1 + 8c) + -14 = 78c + 10
(-1 * 10 + 8c * 10) + -14 = 78c + 10
(-10 + 80c) + -14 = 78c + 10

Reorder the terms:
-10 + -14 + 80c = 78c + 10

Combine like terms: -10 + -14 = -24
-24 + 80c = 78c + 10

Reorder the terms:
-24 + 80c = 10 + 78c

Solving
-24 + 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.
-24 + 80c + -78c = 10 + 78c + -78c

Combine like terms: 80c + -78c = 2c
-24 + 2c = 10 + 78c + -78c

Combine like terms: 78c + -78c = 0
-24 + 2c = 10 + 0
-24 + 2c = 10

Add '24' to each side of the equation.
-24 + 24 + 2c = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 2c = 10 + 24
2c = 10 + 24

Combine like terms: 10 + 24 = 34
2c = 34

Divide each side by '2'.
c = 17

Simplifying
c = 17

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