8c-(5c-7)=6(4c-7)

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Solution for 8c-(5c-7)=6(4c-7) equation:


Simplifying
8c + -1(5c + -7) = 6(4c + -7)

Reorder the terms:
8c + -1(-7 + 5c) = 6(4c + -7)
8c + (-7 * -1 + 5c * -1) = 6(4c + -7)
8c + (7 + -5c) = 6(4c + -7)

Reorder the terms:
7 + 8c + -5c = 6(4c + -7)

Combine like terms: 8c + -5c = 3c
7 + 3c = 6(4c + -7)

Reorder the terms:
7 + 3c = 6(-7 + 4c)
7 + 3c = (-7 * 6 + 4c * 6)
7 + 3c = (-42 + 24c)

Solving
7 + 3c = -42 + 24c

Solving for variable 'c'.

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

Add '-24c' to each side of the equation.
7 + 3c + -24c = -42 + 24c + -24c

Combine like terms: 3c + -24c = -21c
7 + -21c = -42 + 24c + -24c

Combine like terms: 24c + -24c = 0
7 + -21c = -42 + 0
7 + -21c = -42

Add '-7' to each side of the equation.
7 + -7 + -21c = -42 + -7

Combine like terms: 7 + -7 = 0
0 + -21c = -42 + -7
-21c = -42 + -7

Combine like terms: -42 + -7 = -49
-21c = -49

Divide each side by '-21'.
c = 2.333333333

Simplifying
c = 2.333333333

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