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

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


Simplifying
7(c + -4) = 6(c + -6)

Reorder the terms:
7(-4 + c) = 6(c + -6)
(-4 * 7 + c * 7) = 6(c + -6)
(-28 + 7c) = 6(c + -6)

Reorder the terms:
-28 + 7c = 6(-6 + c)
-28 + 7c = (-6 * 6 + c * 6)
-28 + 7c = (-36 + 6c)

Solving
-28 + 7c = -36 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-28 + 7c + -6c = -36 + 6c + -6c

Combine like terms: 7c + -6c = 1c
-28 + 1c = -36 + 6c + -6c

Combine like terms: 6c + -6c = 0
-28 + 1c = -36 + 0
-28 + 1c = -36

Add '28' to each side of the equation.
-28 + 28 + 1c = -36 + 28

Combine like terms: -28 + 28 = 0
0 + 1c = -36 + 28
1c = -36 + 28

Combine like terms: -36 + 28 = -8
1c = -8

Divide each side by '1'.
c = -8

Simplifying
c = -8

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