6(c-3)=7(c-7)

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Solution for 6(c-3)=7(c-7) equation:


Simplifying
6(c + -3) = 7(c + -7)

Reorder the terms:
6(-3 + c) = 7(c + -7)
(-3 * 6 + c * 6) = 7(c + -7)
(-18 + 6c) = 7(c + -7)

Reorder the terms:
-18 + 6c = 7(-7 + c)
-18 + 6c = (-7 * 7 + c * 7)
-18 + 6c = (-49 + 7c)

Solving
-18 + 6c = -49 + 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.
-18 + 6c + -7c = -49 + 7c + -7c

Combine like terms: 6c + -7c = -1c
-18 + -1c = -49 + 7c + -7c

Combine like terms: 7c + -7c = 0
-18 + -1c = -49 + 0
-18 + -1c = -49

Add '18' to each side of the equation.
-18 + 18 + -1c = -49 + 18

Combine like terms: -18 + 18 = 0
0 + -1c = -49 + 18
-1c = -49 + 18

Combine like terms: -49 + 18 = -31
-1c = -31

Divide each side by '-1'.
c = 31

Simplifying
c = 31

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