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

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


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

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

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

Solving
-42 + 7c = -56 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-42 + 7c + -8c = -56 + 8c + -8c

Combine like terms: 7c + -8c = -1c
-42 + -1c = -56 + 8c + -8c

Combine like terms: 8c + -8c = 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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