10(7c-1)-12=68c+10

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Solution for 10(7c-1)-12=68c+10 equation: 


Simplifying
10(7c + -1) + -12 = 68c + 10

Reorder the terms:
10(-1 + 7c) + -12 = 68c + 10
(-1 * 10 + 7c * 10) + -12 = 68c + 10
(-10 + 70c) + -12 = 68c + 10

Reorder the terms:
-10 + -12 + 70c = 68c + 10

Combine like terms: -10 + -12 = -22
-22 + 70c = 68c + 10

Reorder the terms:
-22 + 70c = 10 + 68c

Solving
-22 + 70c = 10 + 68c

Solving for variable 'c'.

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

Add '-68c' to each side of the equation.
-22 + 70c + -68c = 10 + 68c + -68c

Combine like terms: 70c + -68c = 2c
-22 + 2c = 10 + 68c + -68c

Combine like terms: 68c + -68c = 0
-22 + 2c = 10 + 0
-22 + 2c = 10

Add '22' to each side of the equation.
-22 + 22 + 2c = 10 + 22

Combine like terms: -22 + 22 = 0
0 + 2c = 10 + 22
2c = 10 + 22

Combine like terms: 10 + 22 = 32
2c = 32

Divide each side by '2'.
c = 16

Simplifying
c = 16

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