6(c-7)=7(c-8)

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Solution for 6(c-7)=7(c-8) equation: 


Simplifying
6(c + -7) = 7(c + -8)

Reorder the terms:
6(-7 + c) = 7(c + -8)
(-7 * 6 + c * 6) = 7(c + -8)
(-42 + 6c) = 7(c + -8)

Reorder the terms:
-42 + 6c = 7(-8 + c)
-42 + 6c = (-8 * 7 + c * 7)
-42 + 6c = (-56 + 7c)

Solving
-42 + 6c = -56 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
-42 + 6c + -7c = -56 + 7c + -7c

Combine like terms: 6c + -7c = -1c
-42 + -1c = -56 + 7c + -7c

Combine like terms: 7c + -7c = 0
-42 + -1c = -56 + 0
-42 + -1c = -56

Add '42' to each side of the equation.
-42 + 42 + -1c = -56 + 42

Combine like terms: -42 + 42 = 0
0 + -1c = -56 + 42
-1c = -56 + 42

Combine like terms: -56 + 42 = -14
-1c = -14

Divide each side by '-1'.
c = 14

Simplifying
c = 14

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